123201 (number)
123,201 (one hundred twentythree thousand two hundred one) is an odd sixdigits composite number following 123200 and preceding 123202. In scientific notation, it is written as 1.23201 × 10^{5}. The sum of its digits is 9. It has a total of 8 prime factors and 21 positive divisors. There are 75,816 positive integers (up to 123201) that are relatively prime to 123201.
Basic properties
 Is Prime? No
 Number parity Odd
 Number length 6
 Sum of Digits 9
 Digital Root 9
Name
Short name  123 thousand 201 

Full name  one hundred twentythree thousand two hundred one 
Notation
Scientific notation  1.23201 × 10^{5} 

Engineering notation  123.201 × 10^{3} 
Prime Factorization of 123201
Prime Factorization 3^{6} × 13^{2}
Composite numberω(n)  Distinct Factors  2  Total number of distinct prime factors 

Ω(n)  Total Factors  8  Total number of prime factors 
rad(n)  Radical  39  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  0  Returns:

Λ(n)  Mangoldt function  0  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 123,201 is 3^{6} × 13^{2}. Since it has a total of 8 prime factors, 123,201 is a composite number.
Divisors of 123201
21 divisors
τ(n)  Total Divisors  21  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  200019  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  76818  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  9524.714  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  351  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  12.934876186763  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 123,201 can be divided by 21 positive divisors (out of which 0 are even, and 21 are odd). The sum of these divisors (counting 123,201) is 200,019, the average is 95,24.,714.
Other Arithmetic Functions (n = 123201)
φ(n)  Euler Totient  75816  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  12636  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 11552  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  12  The number of ways n can be represented as the sum of 2 squares 
There are 75,816 positive integers (less than 123,201) that are coprime with 123,201. And there are approximately 11,552 prime numbers less than or equal to 123,201.
Divisibility of 123201
m  2  3  4  5  6  7  8  9 

n mod m  1  0  1  1  3  1  1  0 
The number 123,201 is divisible by 3 and 9.
Classification of 123201
By Arithmetic functions
 Deficient
Expressible via specific sums
 Polite
By Shape (2D, noncentered)
 Square
By Shape (2D, centered)
 Centered Octagonal
By Powers
 Powerful
 Perfect Power
 Perfect Square
Other numbers
 Frugal
Base conversion (123201)
Base  System  Value 

2  Binary  11110000101000001 
3  Ternary  20021000000 
4  Quaternary  132011001 
5  Quinary  12420301 
6  Senary  2350213 
8  Octal  360501 
10  Decimal  123201 
12  Duodecimal  5b369 
16  Hexadecimal  1e141 
20  Vigesimal  f801 
36  Base36  2n29 
Basic calculations (n = 123201)
Multiplication
n×yn×2  246402 

n×3  369603 
n×4  492804 
n×5  616005 
Division
n÷yn÷2  61600.500 

n÷3  41067.000 
n÷4  30800.250 
n÷5  24640.200 
Exponentiation
n^{y}n^{2}  15178486401 

n^{3}  1870004703089601 
n^{4}  230386449425341932801 
n^{5}  28383840955651551463016001 
Nth Root
^{y}√n^{2}√n  351 

^{3}√n  49.75897332311 
^{4}√n  18.734993995195 
^{5}√n  10.426123059226 
123201 as geometric shapes
Circle
Radius = nDiameter  246402 

Circumference  774094.71302983 
Area  47684621369.994 
Sphere
Radius = nVolume  7.8330573832062E+15 

Surface area  190738485479.98 
Circumference  774094.71302983 
Square
Length = nPerimeter  492804 

Area  15178486401 
Diagonal  174232.52509793 
Cube
Length = nSurface area  91070918406 

Volume  1870004703089601 
Space diagonal  213390.39154329 
Equilateral Triangle
Length = nPerimeter  369603 

Area  6572477407.1313 
Altitude  106695.19577165 
Triangular Pyramid
Length = nSurface area  26289909628.525 

Volume  2.2038216773423E+14 
Height  100593.19526688 
Cryptographic Hash Functions
md5  ce52dff255248ac48657bd02d00bf104 

sha1  c6ec8dd85ba697517ae975d4d2dac091ea7a4c89 
sha256  05425ccbef988ea8a1ffa21671f14ed00ecc20d553261f8b90e3d51c40aea995 
sha512  c6a548fd3ddec78bf0200964ae146f9f34aeb8529eb44a176713ba46f3e754485db5c83c99546728a99acf94e3e2451a8406ef3bae40a914914e2ff4b62d812d 
ripemd160  17fda26a8cb0d9bf8f292af8dd33e20027a70ca0 