Math question: What is the sum of the square root of 121 multiplied by the cube root of 121?

To find the solution, we first calculate the square root of 121, which is 11. Then, we calculate the cube root of 121, which is approximately 4.979. Multiplying these results, we get 11 * 4.979 ≈ 54.768. Hence, the sum of the square root of 121 multiplied by the cube root of 121 is approximately 54.768.

Math question: What is the smallest possible positive integer greater than 121 which is a perfect square and can be expressed as the sum of two consecutive positive whole numbers?

To find the solution, we need to consider that perfect squares are always the sum of odd consecutive numbers. Thus, we can write the equation: n^2 = (m-1) + m, where n is the smallest possible positive integer and m represents the consecutive numbers' average. Rearranging the equation, we get n^2 = 2m - 1. Since we aim to find the smallest values, we substitute m=61 and simplifying the equation gives n^2 = 121. Therefore, the smallest positive integer satisfying the condition is 11.

Question: Solve for the value of x if (121 + x)² - (11 + x)² = 242.

To find the value of x, expand both squares: (121 + x)² = (11 + x)² + 242. Simplifying, we get 14641 + 242x + x² = 121 + 22x + x² + 242. By grouping like terms, this reduces to 242x - 22x = 363. Thus, 220x = 363. Dividing both sides by 220, we find x = 1.65. Therefore, the solution is x = 1.65.

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

121 (number)

121 is an odd 3-digits composite number following 120 and preceding 122. In scientific notation, it is written as 1.21 × 10^2. The sum of its digits is 4. It has a total of 2 prime factors and 3 positive divisors. There are 110 positive integers (up to 121) that are relatively prime to 121.

Interesting facts

121 has 3 divisors, whose sum is 133
The reverse of 121 is 121
Previous prime number is 11

Basic properties

Is Prime? no
Number parity odd
Number length 3
Sum of Digits 4
Digital Root 4

Name

Name	one hundred twenty-one

Notation

Scientific notation	1.21 × 10^2
Engineering notation	1.21 × 10^0

Prime Factorization of 121

Prime Factorization 11 × 11

Composite number

ω	Distinct Factors	1	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	11	Product of the distinct prime numbers

The prime factorization of 121 is 11 × 11. Since it has a total of 2 prime factors.

Most popular turbo-numbers

2, 1, 37, 27, 953, 552, 6838, 44, 73303, 7248, 461966, 774410, 6508265, 3840586, 27515294, 6772191, 802848089, 19875398, 4840952996, 5903387688

Basic calculations (n = 121)

Multiplication

n×y

n×2	242
n×3	363
n×4	484
n×5	605

Division

n÷y

n÷2	60.5
n÷3	40.333333333333
n÷3	30.25
n÷5	24.2

Exponentiation

n^y

n²	14641
n³	1771561
n⁴	214358881
n⁵	25937424601

Nth Root

^y√n

²√n	11
³√n	4.9460874432487
⁴√n	3.3166247903554
⁵√n	2.6094986352789

Divisors of 121

1, 11, 121

3 divisors

τ	Total Divisors	3	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-120	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.33333333333333	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	3	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 121 can be divided by 3 positive divisors. The sum of these divisors (counting 121) is 1, the average is 0.33333333333333.

Base conversion 121

Base	System	Value
2	Binary	1111001
3	Ternary	11111
4	Quaternary	1321
5	Quinary	441
6	Senary	321
8	Octal	171
10	Decimal	121
12	Duodecimal	a1
16	Hexadecimal	79
20	Vigesimal	61
36	Base36	3d

Cryptographic Hash Functions

md5	4c56ff4ce4aaf9573aa5dff913df997a
sha1	8bd7954c40c1e59a900f71ea3a266732609915b1
sha256	89aa1e580023722db67646e8149eb246c748e180e34a1cf679ab0b41a416d904
sha512	363709c1bed1003ef69e586cbc9d7284f191673e339601d9009a3e193235fbcf2b7a14846c2839af418ab52e0a89d67cb7b08f9bc15f688a85b491b8ff09971f
ripemd-160	a5a30ddc2d18eb8a77b878cb329aa6e545162dfa

121 as geometric shapes

Circle

Radius = n

Diameter	242
Circumference	760.26542216873
Area	45996.058041208

Sphere

Radius = n

Volume	7420697.3639816
Surface area	183984.23216483
Circumference	760.26542216873

Square

Length = n

Perimeter	484
Area	14641
Diagonal	171.11984104714

Cube

Length = n

Surface area	87846
Volume	1771561
Space diagonal	209.57814771583

Equilateral Triangle

Length = n

Perimeter	363
Area	6339.738968404
Altitude	104.78907385792

Triangular Pyramid

Length = n

Surface area	6339.738968404
Volume	208780.46606427
Height	57.039947015715