# 10011 (number)

10,011 (ten thousand eleven) is an odd five-digits composite number following 10010 and preceding 10012. In scientific notation, it is written as 1.0011 × 104. The sum of its digits is 3. It has a total of 3 prime factors and 8 positive divisors. There are 6,440 positive integers (up to 10011) that are relatively prime to 10011.

## Basic properties

• Is Prime? No
• Number parity Odd
• Number length 5
• Sum of Digits 3
• Digital Root 3

## Name

Short name 10 thousand 11 ten thousand eleven

## Notation

Scientific notation 1.0011 × 104 10.011 × 103

## Prime Factorization of 10011

Prime Factorization 3 × 47 × 71

Composite number
Distinct Factors Total Factors Radical ω(n) 3 Total number of distinct prime factors Ω(n) 3 Total number of prime factors rad(n) 10011 Product of the distinct prime numbers λ(n) -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) -1 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ(n) 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 10,011 is 3 × 47 × 71. Since it has a total of 3 prime factors, 10,011 is a composite number.

## Divisors of 10011

1, 3, 47, 71, 141, 213, 3337, 10011

8 divisors

 Even divisors 0 8 4 4
Total Divisors Sum of Divisors Aliquot Sum τ(n) 8 Total number of the positive divisors of n σ(n) 13824 Sum of all the positive divisors of n s(n) 3813 Sum of the proper positive divisors of n A(n) 1728 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 100.055 Returns the nth root of the product of n divisors H(n) 5.7934 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 10,011 can be divided by 8 positive divisors (out of which 0 are even, and 8 are odd). The sum of these divisors (counting 10,011) is 13,824, the average is 1,728.

## Other Arithmetic Functions (n = 10011)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 6440 Total number of positive integers not greater than n that are coprime to n λ(n) 1610 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 1231 Total number of primes less than or equal to n r2(n) 0 The number of ways n can be represented as the sum of 2 squares

There are 6,440 positive integers (less than 10,011) that are coprime with 10,011. And there are approximately 1,231 prime numbers less than or equal to 10,011.

## Divisibility of 10011

 m n mod m 2 3 4 5 6 7 8 9 1 0 3 1 3 1 3 3

The number 10,011 is divisible by 3.

## Classification of 10011

• Arithmetic
• Deficient

### Expressible via specific sums

• Polite
• Non-hypotenuse

• Triangle
• Hexagonal

• Square Free

### Other numbers

• LucasCarmichael
• Sphenic

## Base conversion (10011)

Base System Value
2 Binary 10011100011011
3 Ternary 111201210
4 Quaternary 2130123
5 Quinary 310021
6 Senary 114203
8 Octal 23433
10 Decimal 10011
12 Duodecimal 5963
20 Vigesimal 150b
36 Base36 7q3

## Basic calculations (n = 10011)

### Multiplication

n×y
 n×2 20022 30033 40044 50055

### Division

n÷y
 n÷2 5005.5 3337 2502.75 2002.2

### Exponentiation

ny
 n2 100220121 1003303631331 10044072653254641 100551211331732211051

### Nth Root

y√n
 2√n 100.055 21.5522 10.0027 6.31096

## 10011 as geometric shapes

### Circle

 Diameter 20022 62901 3.14851e+08

### Sphere

 Volume 4.20263e+12 1.2594e+09 62901

### Square

Length = n
 Perimeter 40044 1.0022e+08 14157.7

### Cube

Length = n
 Surface area 6.01321e+08 1.0033e+12 17339.6

### Equilateral Triangle

Length = n
 Perimeter 30033 4.33966e+07 8669.78

### Triangular Pyramid

Length = n
 Surface area 1.73586e+08 1.1824e+11 8173.95
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