100153 (number)
100,153 (one hundred thousand one hundred fiftythree) is an odd sixdigits prime number following 100152 and preceding 100154. In scientific notation, it is written as 1.00153 × 10^{5}. The sum of its digits is 10. It has a total of 1 prime factor and 2 positive divisors. There are 100,152 positive integers (up to 100153) that are relatively prime to 100153.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 10
 Digital Root 1
Name
Short name  100 thousand 153 

Full name  one hundred thousand one hundred fiftythree 
Notation
Scientific notation  1.00153 × 10^{5} 

Engineering notation  100.153 × 10^{3} 
Prime Factorization of 100153
Prime Factorization 100153
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  100153  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  11.514454295713  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 100,153 is 100153. Since it has a total of 1 prime factor, 100,153 is a prime number.
Divisors of 100153
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  100154  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  50077  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  316.46958779636  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999800307526  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 100,153 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 100,153) is 100,154, the average is 50,077.
Other Arithmetic Functions (n = 100153)
φ(n)  Euler Totient  100152  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  100152  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 9577  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 100,152 positive integers (less than 100,153) that are coprime with 100,153. And there are approximately 9,577 prime numbers less than or equal to 100,153.
Divisibility of 100153
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  3  1  4  1  1 
100,153 is not divisible by any number less than or equal to 9.
Classification of 100153
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (100153)
Base  System  Value 

2  Binary  11000011100111001 
3  Ternary  12002101101 
4  Quaternary  120130321 
5  Quinary  11201103 
6  Senary  2051401 
8  Octal  303471 
10  Decimal  100153 
12  Duodecimal  49b61 
16  Hexadecimal  18739 
20  Vigesimal  ca7d 
36  Base36  25a1 
Basic calculations (n = 100153)
Multiplication
n×yn×2  200306 

n×3  300459 
n×4  400612 
n×5  500765 
Division
n÷yn÷2  50076.500 

n÷3  33384.333 
n÷4  25038.250 
n÷5  20030.600 
Exponentiation
n^{y}n^{2}  10030623409 

n^{3}  1004597026281577 
n^{4}  100613405973178781281 
n^{5}  10076734448431774481635993 
Nth Root
^{y}√n^{2}√n  316.46958779636 

^{3}√n  46.439548376658 
^{4}√n  17.789592120011 
^{5}√n  10.003058128997 
100153 as geometric shapes
Circle
Radius = nDiameter  200306 

Circumference  629279.85806996 
Area  31512132812.64 
Sphere
Radius = nVolume  4.2080461834458E+15 

Surface area  126048531250.56 
Circumference  629279.85806996 
Square
Length = nPerimeter  400612 

Area  10030623409 
Diagonal  141637.73091235 
Cube
Length = nSurface area  60183740454 

Volume  1004597026281577 
Space diagonal  173470.08453045 
Equilateral Triangle
Length = nPerimeter  300459 

Area  4343387343.9944 
Altitude  86735.042265223 
Triangular Pyramid
Length = nSurface area  17373549375.978 

Volume  1.1839289494059E+14 
Height  81774.582069655 
Cryptographic Hash Functions
md5  966fbc7903cd1716d92bfe9398a4e794 

sha1  35b32e7e8cb15cad3fbc24d6396817e68a1778bb 
sha256  1913ef6596cbe318caffb08adba11795030c8513b5e74b0ec5b8e9deb09ae321 
sha512  6db2038d32bb302a7794a68ab31b8ab7b008ca79968978d87d88608d05d913a451b5642477be7156ad700a2b96e4f667b13c3e57502209d8c5b4749d230a6b57 
ripemd160  d78b567cf308b046e6808b1a3eca1a8f7f4469a1 