102301 (number)
102,301 (one hundred two thousand three hundred one) is an odd sixdigits prime number following 102300 and preceding 102302. In scientific notation, it is written as 1.02301 × 10^{5}. The sum of its digits is 7. It has a total of 1 prime factor and 2 positive divisors. There are 102,300 positive integers (up to 102301) that are relatively prime to 102301.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 7
 Digital Root 7
Name
Short name  102 thousand 301 

Full name  one hundred two thousand three hundred one 
Notation
Scientific notation  1.02301 × 10^{5} 

Engineering notation  102.301 × 10^{3} 
Prime Factorization of 102301
Prime Factorization 102301
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  102301  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  11.535674727063  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 102,301 is 102301. Since it has a total of 1 prime factor, 102,301 is a prime number.
Divisors of 102301
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  102302  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  51151  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  319.84527509407  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999804500401  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 102,301 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 102,301) is 102,302, the average is 51,151.
Other Arithmetic Functions (n = 102301)
φ(n)  Euler Totient  102300  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  102300  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 9763  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 102,300 positive integers (less than 102,301) that are coprime with 102,301. And there are approximately 9,763 prime numbers less than or equal to 102,301.
Divisibility of 102301
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  1  1  3  5  7 
102,301 is not divisible by any number less than or equal to 9.
Classification of 102301
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (102301)
Base  System  Value 

2  Binary  11000111110011101 
3  Ternary  12012022221 
4  Quaternary  120332131 
5  Quinary  11233201 
6  Senary  2105341 
8  Octal  307635 
10  Decimal  102301 
12  Duodecimal  4b251 
16  Hexadecimal  18f9d 
20  Vigesimal  cff1 
36  Base36  26xp 
Basic calculations (n = 102301)
Multiplication
n×yn×2  204602 

n×3  306903 
n×4  409204 
n×5  511505 
Division
n÷yn÷2  51150.500 

n÷3  34100.333 
n÷4  25575.250 
n÷5  20460.200 
Exponentiation
n^{y}n^{2}  10465494601 

n^{3}  1070630563176901 
n^{4}  109526577243560149201 
n^{5}  11204678378593446823411501 
Nth Root
^{y}√n^{2}√n  319.84527509407 

^{3}√n  46.769201983544 
^{4}√n  17.884218604515 
^{5}√n  10.045602187128 
102301 as geometric shapes
Circle
Radius = nDiameter  204602 

Circumference  642776.14010978 
Area  32878320954.685 
Sphere
Radius = nVolume  4.4846468159803E+15 

Surface area  131513283818.74 
Circumference  642776.14010978 
Square
Length = nPerimeter  409204 

Area  10465494601 
Diagonal  144675.46164433 
Cube
Length = nSurface area  62792967606 

Volume  1070630563176901 
Space diagonal  177190.5296651 
Equilateral Triangle
Length = nPerimeter  306903 

Area  4531692093.8174 
Altitude  88595.264832552 
Triangular Pyramid
Length = nSurface area  18126768375.27 

Volume  1.2617502189466E+14 
Height  83528.416725487 
Cryptographic Hash Functions
md5  60a16db11f669087d3f34f3cf12134d3 

sha1  751d79103c11e080c3d9f7f5e8e6b59dc7a63c99 
sha256  ebe0173b9b28c8517d948abb2dcdca76ac447f6405217f7f846a3e069b243ac2 
sha512  798fe955221e3eeb17b8652011d7bb76bad63f45bfeafeb468a53060343bf147b98c50bb312b1e286eee5b0d94e34a677fe61ed3858527c228d953d5eb11309f 
ripemd160  397917c7b973f8e15c6b72184cb5fba1fc59692c 