Question: If I increase a number by 5, divide it by 3, then multiply it by 2, and finally add 1, what is the result for the number 11?

To find the result, we first increase 11 by 5, which gives us 16. Then, dividing 16 by 3 equals 5.33 recurring (repeating decimal). Multiplying 5.33 by 2 yields 10.67 recurring. Finally, adding 1 to 10.67 recurring gives us a final result of 11.67 recurring for the number 11 after performing the given operations.

Question: What is the smallest positive integer that, when multiplied by 11, results in a three-digit number?

To find the smallest positive integer that when multiplied by 11 yields a three-digit number, we divide the smallest three-digit number (100) by 11. This calculation gives us the quotient 9 with a remainder of 1. Since the remainder is 1, we need to increment the quotient by 1 to obtain the smallest positive integer, which is 10. So, when we multiply 11 by 10, we get 110, which is the smallest three-digit result possible.

Question: What is the largest prime factor of the number formed by repeating the number 11, eleven times?

To find the number formed by repeating 11, eleven times, we calculate 11 elevated to the power of 11: 11^11. This rigorous computation evaluates to a massive number: 285,311,670,611. Now, to determine the largest prime factor of this number, we'll perform prime factorization. By dividing this number by primes starting from 2, we find that the largest prime factor is 1471. Thus, 1471 is the largest prime factor of the number formed by repeating 11, eleven times.

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

11 (number)

11 is an odd 2-digits prime number following 10 and preceding 12. In scientific notation, it is written as 1.1 × 10^1. The sum of its digits is 2. It has a total of 1 prime factors and 2 positive divisors. There are 10 positive integers (up to 11) that are relatively prime to 11.

Interesting facts

11 has 2 divisors, whose sum is 12
The reverse of 11 is 11
Previous prime number is 1

Basic properties

Is Prime? yes
Number parity odd
Number length 2
Sum of Digits 2
Digital Root 2

Name

Name	eleven

Notation

Scientific notation	1.1 × 10^1
Engineering notation	1.1 × 10^0

Prime Factorization of 11

Prime Factorization 11

Composite number

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

The prime factorization of 11 is 11. Since it has a total of 1 prime factors.

Most popular turbo-numbers

3, 9, 60, 88, 409, 457, 2917, 7331, 68167, 15331, 894585, 516552, 2235868, 106355, 68948786, 18926266, 546036253, 804305459, 5505847791, 5702599479

Basic calculations (n = 11)

Multiplication

n×y

n×2	22
n×3	33
n×4	44
n×5	55

Division

n÷y

n÷2	5.5
n÷3	3.6666666666667
n÷3	2.75
n÷5	2.2

Exponentiation

n^y

n²	121
n³	1331
n⁴	14641
n⁵	161051

Nth Root

^y√n

²√n	3.3166247903554
³√n	2.2239800905693
⁴√n	1.8211602868379
⁵√n	1.6153942662022

Divisors of 11

1, 11

2 divisors

τ	Total Divisors	2	Total number of the positive divisors of n
σ	Sum of Divisors	12	Sum of all the positive divisors of n
s	Aliquot Sum	1	Sum of the proper positive divisors of n
A	Arithmetic Mean	6	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	3.4641016151378	Returns the nth root of the product of n divisors
H	Harmonic Mean	1.8333333333333	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 11 can be divided by 2 positive divisors. The sum of these divisors (counting 11) is 12, the average is 6.

Base conversion 11

Base	System	Value
2	Binary	1011
3	Ternary	102
4	Quaternary	23
5	Quinary	21
6	Senary	15
8	Octal	13
10	Decimal	11
12	Duodecimal	b
16	Hexadecimal	b
20	Vigesimal	b
36	Base36	b

Cryptographic Hash Functions

md5	6512bd43d9caa6e02c990b0a82652dca
sha1	17ba0791499db908433b80f37c5fbc89b870084b
sha256	4fc82b26aecb47d2868c4efbe3581732a3e7cbcc6c2efb32062c08170a05eeb8
sha512	74a49c698dbd3c12e36b0b287447d833f74f3937ff132ebff7054baa18623c35a705bb18b82e2ac0384b5127db97016e63609f712bc90e3506cfbea97599f46f
ripemd-160	a76d892cc3522eab763529dfc84b12c080ee1fe8

11 as geometric shapes

Circle

Radius = n

Diameter	22
Circumference	69.115038378975
Area	380.13271108436

Sphere

Radius = n

Volume	5575.2797625707
Surface area	1520.5308443375
Circumference	69.115038378975

Square

Length = n

Perimeter	44
Area	121
Diagonal	15.556349186104

Cube

Length = n

Surface area	726
Volume	1331
Space diagonal	19.052558883258

Equilateral Triangle

Length = n

Perimeter	33
Area	52.394536928959
Altitude	9.5262794416288

Triangular Pyramid

Length = n

Surface area	52.394536928959
Volume	156.85985429322
Height	5.1854497287013