Math question: What is the sum of the two prime numbers that are closest, but smaller and greater respectively, than 151?

The two prime numbers closest to 151 are 149 (the largest prime smaller than 151) and 157 (the smallest prime greater than 151). To find their sum, we add 149 and 157, which equals 306. Nonetheless, it is worth noting that prime numbers might have a gap between them, making it challenging to guarantee the next prime number. Therefore, while 157 is the prime number larger than 151, it is advisable to check that 151 itself is a prime number before proceeding with this answer.

Math Question: What is the sum of the first 75 odd positive integers greater than 151?

To find the sum of the first 75 odd positive integers greater than 151, we can use the formula for the sum of an arithmetic series. The first odd integer greater than 151 is 153, and the common difference between consecutive odd integers is 2. The nth term of the arithmetic sequence can be found using the formula a_n = a_1 + (n-1)d, where a_n represents the nth term, a_1 is the first term, and d is the common difference. Using this formula, the 75th term can be found as a_75 = 153 + (75-1)2 = 301. We can now find the sum of these terms using the formula S_n = (n/2)(a_1 + a_n). Substituting the values, we have S_75 = (75/2)(153 + 301) = 11325. Therefore, the sum of the first 75 odd positive integers greater than 151 is 11325.

Math Question: If x and y are two consecutive integers, and their sum is 151, what is the value of x?

Let's assume the value of x is n. Since x and y are consecutive integers, y can be expressed as (n+1). Given that their sum is 151, we can set up the equation as follows: n + (n+1) = 151 Simplifying, we get: 2n + 1 = 151 Subtracting 1 from both sides: 2n = 150 Dividing both sides by 2: n = 75 Therefore, the value of x is 75.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

151 (number)

151 is an odd 3-digits prime number following 150 and preceding 152. In scientific notation, it is written as 1.51 × 10^2. The sum of its digits is 7. It has a total of 1 prime factors and 2 positive divisors. There are 150 positive integers (up to 151) that are relatively prime to 151.

Interesting facts

151 has 2 divisors, whose sum is 152
The reverse of 151 is 151
Previous prime number is 1

Basic properties

Is Prime? yes
Number parity odd
Number length 3
Sum of Digits 7
Digital Root 7

Name

Name	one hundred fifty-one

Notation

Scientific notation	1.51 × 10^2
Engineering notation	1.51 × 10^0

Prime Factorization of 151

Prime Factorization 151

Composite number

ω	Distinct Factors	1	Total number of distinct prime factors
Ω	Total Factors	1	Total number of prime factors
rad	Radical	151	Product of the distinct prime numbers

The prime factorization of 151 is 151. Since it has a total of 1 prime factors.

Most popular turbo-numbers

7, 1, 22, 56, 442, 862, 5977, 3691, 3753, 39439, 852023, 929547, 4038124, 9674462, 75697211, 10550280, 102806419, 332535581, 3300830180, 2695283374

Basic calculations (n = 151)

Multiplication

n×y

n×2	302
n×3	453
n×4	604
n×5	755

Division

n÷y

n÷2	75.5
n÷3	50.333333333333
n÷3	37.75
n÷5	30.2

Exponentiation

n^y

n²	22801
n³	3442951
n⁴	519885601
n⁵	78502725751

Nth Root

^y√n

²√n	12.288205727445
³√n	5.325074021615
⁴√n	3.505453712067
⁵√n	2.7276923736437

Divisors of 151

1, 151

2 divisors

τ	Total Divisors	2	Total number of the positive divisors of n
σ	Sum of Divisors	152	Sum of all the positive divisors of n
s	Aliquot Sum	1	Sum of the proper positive divisors of n
A	Arithmetic Mean	76	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	12.328828005938	Returns the nth root of the product of n divisors
H	Harmonic Mean	1.9868421052632	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 151 can be divided by 2 positive divisors. The sum of these divisors (counting 151) is 152, the average is 76.

Base conversion 151

Base	System	Value
2	Binary	10010111
3	Ternary	12121
4	Quaternary	2113
5	Quinary	1101
6	Senary	411
8	Octal	227
10	Decimal	151
12	Duodecimal	107
16	Hexadecimal	97
20	Vigesimal	7b
36	Base36	47

Cryptographic Hash Functions

md5	a8f15eda80c50adb0e71943adc8015cf
sha1	b16a457a3302d7c1f4563df2ffc96dccf3779af7
sha256	8e612bd1f5d132a339575b8dafb7842c64614e56bcf3d5ab65a0bc4b34329407
sha512	8b4011ac7d1cad3505f46b6c66ff994d788f409952e3925d7f336d86bed2acd05e2eed1d3ace0309df7c740859f6ef084fb324e7d525cf85af15c1a33dc78f34
ripemd-160	9f71b177b9231fed05bb6d4395bce3ff1683c3f2

151 as geometric shapes

Circle

Radius = n

Diameter	302
Circumference	948.76098138412
Area	71631.454094501

Sphere

Radius = n

Volume	14421799.42436
Surface area	286525.816378
Circumference	948.76098138412

Square

Length = n

Perimeter	604
Area	22801
Diagonal	213.54624791834

Cube

Length = n

Surface area	136806
Volume	3442951
Space diagonal	261.5396719429

Equilateral Triangle

Length = n

Perimeter	453
Area	9873.1226158445
Altitude	130.76983597145

Triangular Pyramid

Length = n

Surface area	9873.1226158445
Volume	405755.6665655
Height	71.182082639446