121259 (number)
121,259 (one hundred twentyone thousand two hundred fiftynine) is an odd sixdigits prime number following 121258 and preceding 121260. In scientific notation, it is written as 1.21259 × 10^{5}. The sum of its digits is 20. It has a total of 1 prime factor and 2 positive divisors. There are 121,258 positive integers (up to 121259) that are relatively prime to 121259.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 20
 Digital Root 2
Name
Short name  121 thousand 259 

Full name  one hundred twentyone thousand two hundred fiftynine 
Notation
Scientific notation  1.21259 × 10^{5} 

Engineering notation  121.259 × 10^{3} 
Prime Factorization of 121259
Prime Factorization 121259
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  121259  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  11.705684032849  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 121,259 is 121259. Since it has a total of 1 prime factor, 121,259 is a prime number.
Divisors of 121259
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  121260  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  60630  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  348.22262993665  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999835065149  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 121,259 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 121,259) is 121,260, the average is 60,630.
Other Arithmetic Functions (n = 121259)
φ(n)  Euler Totient  121258  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  121258  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 11387  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 121,258 positive integers (less than 121,259) that are coprime with 121,259. And there are approximately 11,387 prime numbers less than or equal to 121,259.
Divisibility of 121259
m  2  3  4  5  6  7  8  9 

n mod m  1  2  3  4  5  5  3  2 
121,259 is not divisible by any number less than or equal to 9.
Classification of 121259
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (121259)
Base  System  Value 

2  Binary  11101100110101011 
3  Ternary  20011100002 
4  Quaternary  131212223 
5  Quinary  12340014 
6  Senary  2333215 
8  Octal  354653 
10  Decimal  121259 
12  Duodecimal  5a20b 
16  Hexadecimal  1d9ab 
20  Vigesimal  f32j 
36  Base36  2lkb 
Basic calculations (n = 121259)
Multiplication
n×yn×2  242518 

n×3  363777 
n×4  485036 
n×5  606295 
Division
n÷yn÷2  60629.500 

n÷3  40419.666 
n÷4  30314.750 
n÷5  24251.800 
Exponentiation
n^{y}n^{2}  14703745081 

n^{3}  1782961424776979 
n^{4}  216200119407031696561 
n^{5}  26216210279177256493290299 
Nth Root
^{y}√n^{2}√n  348.22262993665 

^{3}√n  49.496139548611 
^{4}√n  18.660724260774 
^{5}√n  10.393044731189 
121259 as geometric shapes
Circle
Radius = nDiameter  242518 

Circumference  761892.76716329 
Area  46193177526.727 
Sphere
Radius = nVolume  7.4684513516178E+15 

Surface area  184772710106.91 
Circumference  761892.76716329 
Square
Length = nPerimeter  485036 

Area  14703745081 
Diagonal  171486.1223598 
Cube
Length = nSurface area  88222470486 

Volume  1782961424776979 
Space diagonal  210026.74887499 
Equilateral Triangle
Length = nPerimeter  363777 

Area  6366908385.4582 
Altitude  105013.3744375 
Triangular Pyramid
Length = nSurface area  25467633541.833 

Volume  2.1012401900897E+14 
Height  99007.558906715 
Cryptographic Hash Functions
md5  fe2c6b729c9f956cb4376313977f2380 

sha1  14816fe204677030fb2d99bcf8cc43fa4d9a9a94 
sha256  98e4eb77fad6136f51a8716637a596a4bb7349616bf2d6d38f7b458407217aae 
sha512  51a41b3402cc83f7477b9e98cf0d386081af711857aa8a612dd3d709332d002b5ac5935f293ff68257a369dee7e6d84a9fae979cdda435b7df52e7fb71ddb3b0 
ripemd160  1e7c825dd2e90ff2a6118ad09aa54c3861a88431 