122033 (number)
122,033 (one hundred twentytwo thousand thirtythree) is an odd sixdigits prime number following 122032 and preceding 122034. In scientific notation, it is written as 1.22033 × 10^{5}. The sum of its digits is 11. It has a total of 1 prime factor and 2 positive divisors. There are 122,032 positive integers (up to 122033) that are relatively prime to 122033.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 11
 Digital Root 2
Name
Short name  122 thousand 33 

Full name  one hundred twentytwo thousand thirtythree 
Notation
Scientific notation  1.22033 × 10^{5} 

Engineering notation  122.033 × 10^{3} 
Prime Factorization of 122033
Prime Factorization 122033
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  122033  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  11.712046778942  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 122,033 is 122033. Since it has a total of 1 prime factor, 122,033 is a prime number.
Divisors of 122033
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  122034  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  61017  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  349.33222010001  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999836111248  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 122,033 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 122,033) is 122,034, the average is 61,017.
Other Arithmetic Functions (n = 122033)
φ(n)  Euler Totient  122032  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  122032  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 11452  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 122,032 positive integers (less than 122,033) that are coprime with 122,033. And there are approximately 11,452 prime numbers less than or equal to 122,033.
Divisibility of 122033
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  3  5  2  1  2 
122,033 is not divisible by any number less than or equal to 9.
Classification of 122033
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (122033)
Base  System  Value 

2  Binary  11101110010110001 
3  Ternary  20012101202 
4  Quaternary  131302301 
5  Quinary  12401113 
6  Senary  2340545 
8  Octal  356261 
10  Decimal  122033 
12  Duodecimal  5a755 
16  Hexadecimal  1dcb1 
20  Vigesimal  f51d 
36  Base36  2m5t 
Basic calculations (n = 122033)
Multiplication
n×yn×2  244066 

n×3  366099 
n×4  488132 
n×5  610165 
Division
n÷yn÷2  61016.500 

n÷3  40677.666 
n÷4  30508.250 
n÷5  24406.600 
Exponentiation
n^{y}n^{2}  14892053089 

n^{3}  1817321914609937 
n^{4}  221773245205594441921 
n^{5}  27063654432174306530945393 
Nth Root
^{y}√n^{2}√n  349.33222010001 

^{3}√n  49.601228073998 
^{4}√n  18.690431244356 
^{5}√n  10.406278810864 
122033 as geometric shapes
Circle
Radius = nDiameter  244066 

Circumference  766755.95259105 
Area  46784764581.272 
Sphere
Radius = nVolume  7.6123802348618E+15 

Surface area  187139058325.09 
Circumference  766755.95259105 
Square
Length = nPerimeter  488132 

Area  14892053089 
Diagonal  172580.72365708 
Cube
Length = nSurface area  89352318534 

Volume  1817321914609937 
Space diagonal  211367.35620005 
Equilateral Triangle
Length = nPerimeter  366099 

Area  6448448144.7903 
Altitude  105683.67810003 
Triangular Pyramid
Length = nSurface area  25793792579.161 

Volume  2.1417344156993E+14 
Height  99639.527260353 
Cryptographic Hash Functions
md5  d707e35f0732bf0738ecd8108e404b31 

sha1  e9aff6c34a5a6bacc3481bbe80b6475e72054139 
sha256  37e43a4ad552fda61ac5f2d91f501a7375c5d6112efd9eaf7b96768fd3811f61 
sha512  a8f2d488f3d4573d23ef24f9c35701caeb784899ffa581eb175450ce05997c9ae4c6a48d9db8660da1846b114f667740eb1f0e6314a042572d9699b02fed7c3c 
ripemd160  05bfba7d7a09ad320f342ad6ef4c1c614f251096 