Search a number
-
+
318828313 is a prime number
BaseRepresentation
bin10011000000001…
…110111100011001
3211012221011020001
4103000032330121
51123110001223
651345333001
710620665416
oct2300167431
9735834201
10318828313
11153a74481
128a937161
1351090b0b
14304b510d
151cecc9ad
hex1300ef19

318828313 has 2 divisors, whose sum is σ = 318828314. Its totient is φ = 318828312.

The previous prime is 318828311. The next prime is 318828329. The reversal of 318828313 is 313828813.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 303874624 + 14953689 = 17432^2 + 3867^2 .

It is a cyclic number.

It is not a de Polignac number, because 318828313 - 21 = 318828311 is a prime.

Together with 318828311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (318828311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 159414156 + 159414157.

It is an arithmetic number, because the mean of its divisors is an integer number (159414157).

Almost surely, 2318828313 is an apocalyptic number.

It is an amenable number.

318828313 is a deficient number, since it is larger than the sum of its proper divisors (1).

318828313 is an equidigital number, since it uses as much as digits as its factorization.

318828313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27648, while the sum is 37.

The square root of 318828313 is about 17855.7641393473. The cubic root of 318828313 is about 683.1545424503.

It can be divided in two parts, 3 and 18828313, that added together give a triangular number (18828316 = T6136).

The spelling of 318828313 in words is "three hundred eighteen million, eight hundred twenty-eight thousand, three hundred thirteen".