213481 (number)
213,481 (two hundred thirteen thousand four hundred eightyone) is an odd sixdigits prime number following 213480 and preceding 213482. In scientific notation, it is written as 2.13481 × 10^{5}. The sum of its digits is 19. It has a total of 1 prime factor and 2 positive divisors. There are 213,480 positive integers (up to 213481) that are relatively prime to 213481.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 19
 Digital Root 1
Name
Short name  213 thousand 481 

Full name  two hundred thirteen thousand four hundred eightyone 
Notation
Scientific notation  2.13481 × 10^{5} 

Engineering notation  213.481 × 10^{3} 
Prime Factorization of 213481
Prime Factorization 213481
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  213481  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  12.271303114716  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 213,481 is 213481. Since it has a total of 1 prime factor, 213,481 is a prime number.
Divisors of 213481
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  213482  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  106741  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  462.04004155484  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999906315287  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 213,481 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 213,481) is 213,482, the average is 106,741.
Other Arithmetic Functions (n = 213481)
φ(n)  Euler Totient  213480  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  213480  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 19033  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 213,480 positive integers (less than 213,481) that are coprime with 213,481. And there are approximately 19,033 prime numbers less than or equal to 213,481.
Divisibility of 213481
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  1  1  2  1  1 
213,481 is not divisible by any number less than or equal to 9.
Classification of 213481
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (213481)
Base  System  Value 

2  Binary  110100000111101001 
3  Ternary  101211211201 
4  Quaternary  310013221 
5  Quinary  23312411 
6  Senary  4324201 
8  Octal  640751 
10  Decimal  213481 
12  Duodecimal  a3661 
16  Hexadecimal  341e9 
20  Vigesimal  16de1 
36  Base36  4kq1 
Basic calculations (n = 213481)
Multiplication
n×yn×2  426962 

n×3  640443 
n×4  853924 
n×5  1067405 
Division
n÷yn÷2  106740.500 

n÷3  71160.333 
n÷4  53370.250 
n÷5  42696.200 
Exponentiation
n^{y}n^{2}  45574137361 

n^{3}  9729212417963641 
n^{4}  2077001996199296044321 
n^{5}  443400463150621918837691401 
Nth Root
^{y}√n^{2}√n  462.04004155484 

^{3}√n  59.765846651463 
^{4}√n  21.495116690887 
^{5}√n  11.637825625764 
213481 as geometric shapes
Circle
Radius = nDiameter  426962 

Circumference  1341340.682562 
Area  143175375127.01 
Sphere
Radius = nVolume  4.0753629676652E+16 

Surface area  572701500508.04 
Circumference  1341340.682562 
Square
Length = nPerimeter  853924 

Area  45574137361 
Diagonal  301907.72550897 
Cube
Length = nSurface area  273444824166 

Volume  9729212417963641 
Space diagonal  369759.93845061 
Equilateral Triangle
Length = nPerimeter  640443 

Area  19734180355.094 
Altitude  184879.96922531 
Triangular Pyramid
Length = nSurface area  78936721420.375 

Volume  1.1465986793911E+15 
Height  174306.50659303 
Cryptographic Hash Functions
md5  7ff92f026ed4a9e134f5ae811c169e11 

sha1  fd91494c27da74f32dcd6b85aa2158c6d87d7a2a 
sha256  39f318e8038ba4d19e57e637fc8914c97646f3ebd6ad831d8692250c841eee5d 
sha512  e07fa1c2388db5a5feadaf9f0ef7f3883f381ac5fa68a704b5e3d8663fa6df837328beefa11ab3f8d6abfc0d969ca918cb2058943e32f2d97a335c82647cdf4a 
ripemd160  b3b7fde6e055abbcb4bc265632c5fb2755ed5f35 