# 100959201 (number)

100,959,201 (one hundred million nine hundred fifty-nine thousand two hundred one) is an odd nine-digits composite number following 100959200 and preceding 100959202. In scientific notation, it is written as 1.00959201 × 108. The sum of its digits is 27. It has a total of 4 prime factors and 12 positive divisors. There are 57,690,936 positive integers (up to 100959201) that are relatively prime to 100959201.

## Basic properties

• Is Prime? No
• Number parity Odd
• Number length 9
• Sum of Digits 27
• Digital Root 9

## Name

Short name 100 million 959 thousand 201 one hundred million nine hundred fifty-nine thousand two hundred one

## Notation

Scientific notation 1.00959201 × 108 100.959201 × 106

## Prime Factorization of 100959201

Prime Factorization 32 × 7 × 1602527

Composite number
Distinct Factors Total Factors Radical ω(n) 3 Total number of distinct prime factors Ω(n) 4 Total number of prime factors rad(n) 33653067 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 100,959,201 is 32 × 7 × 1602527. Since it has a total of 4 prime factors, 100,959,201 is a composite number.

## Divisors of 100959201

12 divisors

 Even divisors 0 12 6 6
Total Divisors Sum of Divisors Aliquot Sum τ(n) 12 Total number of the positive divisors of n σ(n) 1.66663e+08 Sum of all the positive divisors of n s(n) 6.57037e+07 Sum of the proper positive divisors of n A(n) 1.38886e+07 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 10047.8 Returns the nth root of the product of n divisors H(n) 7.26923 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 100,959,201 can be divided by 12 positive divisors (out of which 0 are even, and 12 are odd). The sum of these divisors (counting 100,959,201) is 166,662,912, the average is 13,888,576.

## Other Arithmetic Functions (n = 100959201)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 57690936 Total number of positive integers not greater than n that are coprime to n λ(n) 4807578 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 5806116 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 57,690,936 positive integers (less than 100,959,201) that are coprime with 100,959,201. And there are approximately 5,806,116 prime numbers less than or equal to 100,959,201.

## Divisibility of 100959201

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

The number 100,959,201 is divisible by 3, 7 and 9.

## Classification of 100959201

• Arithmetic
• Deficient

### Expressible via specific sums

• Polite
• Non-hypotenuse

## Base conversion (100959201)

Base System Value
2 Binary 110000001001000001111100001
3 Ternary 21000222020222200
4 Quaternary 12001020033201
5 Quinary 201321143301
6 Senary 14003523413
8 Octal 601101741
10 Decimal 100959201
12 Duodecimal 29989569
20 Vigesimal 1baji01
36 Base36 1o3wm9

## Basic calculations (n = 100959201)

### Multiplication

n×y
 n×2 201918402 302877603 403836804 504796005

### Division

n÷y
 n÷2 5.04796e+07 3.36531e+07 2.52398e+07 2.01918e+07

### Exponentiation

ny
 n2 10192760266558401 1029052932496283184797601 103892361851531685806901143676801 10488889842533519625247779751596031196001

### Nth Root

y√n
 2√n 10047.8 465.638 100.239 39.8868

## 100959201 as geometric shapes

### Circle

 Diameter 2.01918e+08 6.34345e+08 3.20215e+16

### Sphere

 Volume 4.31049e+24 1.28086e+17 6.34345e+08

### Square

Length = n
 Perimeter 4.03837e+08 1.01928e+16 1.42778e+08

### Cube

Length = n
 Surface area 6.11566e+16 1.02905e+24 1.74866e+08

### Equilateral Triangle

Length = n
 Perimeter 3.02878e+08 4.41359e+15 8.74332e+07

### Triangular Pyramid

Length = n
 Surface area 1.76544e+16 1.21275e+23 8.24328e+07

## Cryptographic Hash Functions

md5 44e49c88035aa0fa5d3638c3cd52eaf4 cc5a96bbdf4dc56183e067255716b5ab5939a676 5cab2de13eaaba144e70ac9a0ee1208be558af07dd03655ed0919d08b582c097 b9181f3e0a7b278fcfd2799562b57e56dbe86f54334393e3744a0b1d6104c1e9dd2d5a38319e11ca4d36b07257aaac97ae9f75ab338d73d7f6e341b17175a947 456bec0e505277cc8fad6ff1e0125c66bf87b805
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