# 100893100 (number)

100,893,100 (one hundred million eight hundred ninety-three thousand one hundred) is an even nine-digits composite number following 100893099 and preceding 100893101. In scientific notation, it is written as 1.008931 × 108. The sum of its digits is 22. It has a total of 7 prime factors and 72 positive divisors. There are 31,444,800 positive integers (up to 100893100) that are relatively prime to 100893100.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 9
• Sum of Digits 22
• Digital Root 4

## Name

Short name 100 million 893 thousand 100 one hundred million eight hundred ninety-three thousand one hundred

## Notation

Scientific notation 1.008931 × 108 100.8931 × 106

## Prime Factorization of 100893100

Prime Factorization 22 × 52 × 7 × 11 × 13103

Composite number
Distinct Factors Total Factors Radical ω(n) 5 Total number of distinct prime factors Ω(n) 7 Total number of prime factors rad(n) 10089310 Product of the distinct prime numbers λ(n) -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) 0 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 100,893,100 is 22 × 52 × 7 × 11 × 13103. Since it has a total of 7 prime factors, 100,893,100 is a composite number.

## Divisors of 100893100

72 divisors

 Even divisors 48 24 12 12
Total Divisors Sum of Divisors Aliquot Sum τ(n) 72 Total number of the positive divisors of n σ(n) 2.72983e+08 Sum of all the positive divisors of n s(n) 1.72089e+08 Sum of the proper positive divisors of n A(n) 3.79142e+06 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 10044.6 Returns the nth root of the product of n divisors H(n) 26.6109 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 100,893,100 can be divided by 72 positive divisors (out of which 48 are even, and 24 are odd). The sum of these divisors (counting 100,893,100) is 272,982,528, the average is 3,791,424.

## Other Arithmetic Functions (n = 100893100)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 31444800 Total number of positive integers not greater than n that are coprime to n λ(n) 393060 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 5802533 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 31,444,800 positive integers (less than 100,893,100) that are coprime with 100,893,100. And there are approximately 5,802,533 prime numbers less than or equal to 100,893,100.

## Divisibility of 100893100

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

The number 100,893,100 is divisible by 2, 4, 5 and 7.

• Arithmetic
• Abundant

• Polite
• Practical

## Base conversion (100893100)

Base System Value
2 Binary 110000000111000000110101100
3 Ternary 21000211220022111
4 Quaternary 12000320012230
5 Quinary 201312034400
6 Senary 14002253404
8 Octal 600700654
10 Decimal 100893100
12 Duodecimal 29957264
20 Vigesimal 1babcf0
36 Base36 1o2hm4

## Basic calculations (n = 100893100)

### Multiplication

n×y
 n×2 201786200 302679300 403572400 504465500

### Division

n÷y
 n÷2 5.04466e+07 3.3631e+07 2.52233e+07 2.01786e+07

### Exponentiation

ny
 n2 10179417627610000 1027033000644218491000000 103620543237297200634312100000000 10454597830894950193317714136510000000000

### Nth Root

y√n
 2√n 10044.6 465.537 100.223 39.8816

## 100893100 as geometric shapes

### Circle

 Diameter 2.01786e+08 6.3393e+08 3.19796e+16

### Sphere

 Volume 4.30203e+24 1.27918e+17 6.3393e+08

### Square

Length = n
 Perimeter 4.03572e+08 1.01794e+16 1.42684e+08

### Cube

Length = n
 Surface area 6.10765e+16 1.02703e+24 1.74752e+08

### Equilateral Triangle

Length = n
 Perimeter 3.02679e+08 4.40782e+15 8.7376e+07

### Triangular Pyramid

Length = n
 Surface area 1.76313e+16 1.21037e+23 8.23789e+07

## Cryptographic Hash Functions

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