# 100391200 (number)

100,391,200 (one hundred million three hundred ninety-one thousand two hundred) is an even nine-digits composite number following 100391199 and preceding 100391201. In scientific notation, it is written as 1.003912 × 108. The sum of its digits is 16. It has a total of 11 prime factors and 216 positive divisors. There are 31,610,880 positive integers (up to 100391200) that are relatively prime to 100391200.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 9
• Sum of Digits 16
• Digital Root 7

## Name

Short name 100 million 391 thousand 200 one hundred million three hundred ninety-one thousand two hundred

## Notation

Scientific notation 1.003912 × 108 100.3912 × 106

## Prime Factorization of 100391200

Prime Factorization 25 × 52 × 72 × 13 × 197

Composite number
Distinct Factors Total Factors Radical ω(n) 5 Total number of distinct prime factors Ω(n) 11 Total number of prime factors rad(n) 179270 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 100,391,200 is 25 × 52 × 72 × 13 × 197. Since it has a total of 11 prime factors, 100,391,200 is a composite number.

## Divisors of 100391200

216 divisors

 Even divisors 180 36 24 12
Total Divisors Sum of Divisors Aliquot Sum τ(n) 216 Total number of the positive divisors of n σ(n) 3.08582e+08 Sum of all the positive divisors of n s(n) 2.08191e+08 Sum of the proper positive divisors of n A(n) 1.42862e+06 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 10019.5 Returns the nth root of the product of n divisors H(n) 70.2715 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 100,391,200 can be divided by 216 positive divisors (out of which 180 are even, and 36 are odd). The sum of these divisors (counting 100,391,200) is 308,581,812, the average is 142,861,9.5.

## Other Arithmetic Functions (n = 100391200)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 31610880 Total number of positive integers not greater than n that are coprime to n λ(n) 11760 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 5775328 Total number of primes less than or equal to n r2(n) 48 The number of ways n can be represented as the sum of 2 squares

There are 31,610,880 positive integers (less than 100,391,200) that are coprime with 100,391,200. And there are approximately 5,775,328 prime numbers less than or equal to 100,391,200.

## Divisibility of 100391200

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

The number 100,391,200 is divisible by 2, 4, 5, 7 and 8.

• Abundant

• Polite
• Practical

• Frugal

## Base conversion (100391200)

Base System Value
2 Binary 101111110111101100100100000
3 Ternary 20222220101211121
4 Quaternary 11332331210200
5 Quinary 201200004300
6 Senary 13543422024
8 Octal 576754440
10 Decimal 100391200
12 Duodecimal 29754914
20 Vigesimal 1b78i00
36 Base36 1nrqcg

## Basic calculations (n = 100391200)

### Multiplication

n×y
 n×2 200782400 301173600 401564800 501956000

### Division

n÷y
 n÷2 5.01956e+07 3.34637e+07 2.50978e+07 2.00782e+07

### Exponentiation

ny
 n2 10078393037440000 1011781971100246528000000 101574006217119069241753600000000 10197136372944043904062734008320000000000

### Nth Root

y√n
 2√n 10019.5 464.763 100.098 39.8418

## 100391200 as geometric shapes

### Circle

 Diameter 2.00782e+08 6.30777e+08 3.16622e+16

### Sphere

 Volume 4.23814e+24 1.26649e+17 6.30777e+08

### Square

Length = n
 Perimeter 4.01565e+08 1.00784e+16 1.41975e+08

### Cube

Length = n
 Surface area 6.04704e+16 1.01178e+24 1.73883e+08

### Equilateral Triangle

Length = n
 Perimeter 3.01174e+08 4.36407e+15 8.69413e+07

### Triangular Pyramid

Length = n
 Surface area 1.74563e+16 1.1924e+23 8.19691e+07

## Cryptographic Hash Functions

md5 0bdfa92db20d4e9c3ba234b6b70a1610 9917cb25b002493912ced402cd747909b4fd3c3d 748acf562be99fc5ff9613283fea088cd474c4ab083c55a11b351e60891ba8b3 cb38854af151c38401f4eaece31fa5606488aa5dae6598a1d237e0d0278e61dab33cc9111f1ffa524efedf0207160f78773324c58cb93c54d4641e0f32a1c70b b3f2ec570a9136938899aaca212cc260d677afae
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