131101 (number)
131,101 (one hundred thirtyone thousand one hundred one) is an odd sixdigits prime number following 131100 and preceding 131102. In scientific notation, it is written as 1.31101 × 10^{5}. The sum of its digits is 7. It has a total of 1 prime factor and 2 positive divisors. There are 131,100 positive integers (up to 131101) that are relatively prime to 131101.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 7
 Digital Root 7
Name
Short name  131 thousand 101 

Full name  one hundred thirtyone thousand one hundred one 
Notation
Scientific notation  1.31101 × 10^{5} 

Engineering notation  131.101 × 10^{3} 
Prime Factorization of 131101
Prime Factorization 131101
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  131101  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  11.783723297488  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 131,101 is 131101. Since it has a total of 1 prime factor, 131,101 is a prime number.
Divisors of 131101
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  131102  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  65551  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  362.07872072244  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999847447026  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 131,101 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 131,101) is 131,102, the average is 65,551.
Other Arithmetic Functions (n = 131101)
φ(n)  Euler Totient  131100  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  131100  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 12221  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 131,100 positive integers (less than 131,101) that are coprime with 131,101. And there are approximately 12,221 prime numbers less than or equal to 131,101.
Divisibility of 131101
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  1  1  5  5  7 
131,101 is not divisible by any number less than or equal to 9.
Classification of 131101
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (131101)
Base  System  Value 

2  Binary  100000000000011101 
3  Ternary  20122211121 
4  Quaternary  200000131 
5  Quinary  13143401 
6  Senary  2450541 
8  Octal  400035 
10  Decimal  131101 
12  Duodecimal  63a51 
16  Hexadecimal  2001d 
20  Vigesimal  g7f1 
36  Base36  2t5p 
Basic calculations (n = 131101)
Multiplication
n×yn×2  262202 

n×3  393303 
n×4  524404 
n×5  655505 
Division
n÷yn÷2  65550.500 

n÷3  43700.333 
n÷4  32775.250 
n÷5  26220.200 
Exponentiation
n^{y}n^{2}  17187472201 

n^{3}  2253294793023301 
n^{4}  295409200660147784401 
n^{5}  38728441615746034682755501 
Nth Root
^{y}√n^{2}√n  362.07872072244 

^{3}√n  50.800579694544 
^{4}√n  19.028366212643 
^{5}√n  10.556530355804 
131101 as geometric shapes
Circle
Radius = nDiameter  262202 

Circumference  823731.87695655 
Area  53996036400.44 
Sphere
Radius = nVolume  9.4385791575122E+15 

Surface area  215984145601.76 
Circumference  823731.87695655 
Square
Length = nPerimeter  524404 

Area  17187472201 
Diagonal  185404.81224068 
Cube
Length = nSurface area  103124833206 

Volume  2253294793023301 
Space diagonal  227073.59292309 
Equilateral Triangle
Length = nPerimeter  393303 

Area  7442393776.4524 
Altitude  113536.79646154 
Triangular Pyramid
Length = nSurface area  29769575105.81 

Volume  2.6555333802652E+14 
Height  107043.51825621 
Cryptographic Hash Functions
md5  2801d1c74925e01ba168d3a23e971f2f 

sha1  4264c9515d40ee619becbd29d7d93ea696aaeb12 
sha256  7691db625429f479e851b5344882d4f73dc2c22397f12dba94ffa0b8c8f79b70 
sha512  6cdb220972e3c607ad4d8b0e462d0d01dbf2b4ac7a27bf986024bff474e523545ed026931e723b36b60ca50ac66725065010959782cae1236443eb4a3ae41373 
ripemd160  4ae5a4b3c1459697ba0d489ed1c66c212005c16a 