45121 (number)
45,121 (fortyfive thousand one hundred twentyone) is an odd fivedigits prime number following 45120 and preceding 45122. In scientific notation, it is written as 4.5121 × 10^{4}. The sum of its digits is 13. It has a total of 1 prime factor and 2 positive divisors. There are 45,120 positive integers (up to 45121) that are relatively prime to 45121.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 13
 Digital Root 4
Name
Short name  45 thousand 121 

Full name  fortyfive thousand one hundred twentyone 
Notation
Scientific notation  4.5121 × 10^{4} 

Engineering notation  45.121 × 10^{3} 
Prime Factorization of 45121
Prime Factorization 45121
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  45121  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  10.717103049047  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 45,121 is 45121. Since it has a total of 1 prime factor, 45,121 is a prime number.
Divisors of 45121
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  45122  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  22561  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  212.41704263076  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999556757236  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 45,121 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 45,121) is 45,122, the average is 22,561.
Other Arithmetic Functions (n = 45121)
φ(n)  Euler Totient  45120  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  45120  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 4679  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 45,120 positive integers (less than 45,121) that are coprime with 45,121. And there are approximately 4,679 prime numbers less than or equal to 45,121.
Divisibility of 45121
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  1  1  6  1  4 
45,121 is not divisible by any number less than or equal to 9.
Classification of 45121
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (45121)
Base  System  Value 

2  Binary  1011000001000001 
3  Ternary  2021220011 
4  Quaternary  23001001 
5  Quinary  2420441 
6  Senary  544521 
8  Octal  130101 
10  Decimal  45121 
12  Duodecimal  22141 
16  Hexadecimal  b041 
20  Vigesimal  5cg1 
36  Base36  ytd 
Basic calculations (n = 45121)
Multiplication
n×yn×2  90242 

n×3  135363 
n×4  180484 
n×5  225605 
Division
n÷yn÷2  22560.500 

n÷3  15040.333 
n÷4  11280.250 
n÷5  9024.200 
Exponentiation
n^{y}n^{2}  2035904641 

n^{3}  91862053306561 
n^{4}  4144907707245338881 
n^{5}  187022380658616935649601 
Nth Root
^{y}√n^{2}√n  212.41704263076 

^{3}√n  35.600784816263 
^{4}√n  14.574534045065 
^{5}√n  8.5285606694966 
45121 as geometric shapes
Circle
Radius = nDiameter  90242 

Circumference  283503.60424525 
Area  6395983063.575 
Sphere
Radius = nVolume  3.8479086908209E+14 

Surface area  25583932254.3 
Circumference  283503.60424525 
Square
Length = nPerimeter  180484 

Area  2035904641 
Diagonal  63810.730147836 
Cube
Length = nSurface area  12215427846 

Volume  91862053306561 
Space diagonal  78151.864488315 
Equilateral Triangle
Length = nPerimeter  135363 

Area  881572569.39432 
Altitude  39075.932244158 
Triangular Pyramid
Length = nSurface area  3526290277.5773 

Volume  10826046804465 
Height  36841.14222804 
Cryptographic Hash Functions
md5  74fdb1c15266a3dd1cac5ffe1c776cb1 

sha1  24066a58fa9cf0e453e1db9d308c290933fc516a 
sha256  914337b9db1ab00319b270efaa0ab1920da84107cbf6d9dfe3e700d4862d5a54 
sha512  cf7d94254f71b7bd90e74dfa1ee8b150c2d03a2bcf1d34e186ffb4fa9db78986712210cace2f24dbc46e50fe65689fb214b4b29feebead766f223c85bef5762b 
ripemd160  d68b1f45356f533285daba5048e5a7793c896824 