Search a number
-
+
311313203309 is a prime number
BaseRepresentation
bin1001000011110111011…
…01101000000001101101
31002202112221201022011002
410201323231220001231
520100032140001214
6355003150210045
731330426365353
oct4417355500155
91082487638132
10311313203309
111100332073a9
12504021b3925
13234838c7954
14110d38617d3
1581709b91de
hex487bb6806d

311313203309 has 2 divisors, whose sum is σ = 311313203310. Its totient is φ = 311313203308.

The previous prime is 311313203251. The next prime is 311313203381. The reversal of 311313203309 is 903302313113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 267234200809 + 44079002500 = 516947^2 + 209950^2 .

It is a cyclic number.

It is not a de Polignac number, because 311313203309 - 220 = 311312154733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311313203389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155656601654 + 155656601655.

It is an arithmetic number, because the mean of its divisors is an integer number (155656601655).

Almost surely, 2311313203309 is an apocalyptic number.

It is an amenable number.

311313203309 is a deficient number, since it is larger than the sum of its proper divisors (1).

311313203309 is an equidigital number, since it uses as much as digits as its factorization.

311313203309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 29.

The spelling of 311313203309 in words is "three hundred eleven billion, three hundred thirteen million, two hundred three thousand, three hundred nine".