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313011322991 is a prime number
BaseRepresentation
bin1001000111000001110…
…11011100000001101111
31002220221022000201102122
410203200323130001233
520112021344313431
6355443450543155
731420466226533
oct4434073340157
91086838021378
10313011322991
111108248058a4
12507b6a37abb
13236946663b3
14112151b7bc3
15821eaeaa7b
hex48e0edc06f

313011322991 has 2 divisors, whose sum is σ = 313011322992. Its totient is φ = 313011322990.

The previous prime is 313011322879. The next prime is 313011323003. The reversal of 313011322991 is 199223110313.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313011322991 is a prime.

It is a super-2 number, since 2×3130113229912 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313011322691) 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, 156505661495 + 156505661496.

It is an arithmetic number, because the mean of its divisors is an integer number (156505661496).

Almost surely, 2313011322991 is an apocalyptic number.

313011322991 is a deficient number, since it is larger than the sum of its proper divisors (1).

313011322991 is an equidigital number, since it uses as much as digits as its factorization.

313011322991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 35.

The spelling of 313011322991 in words is "three hundred thirteen billion, eleven million, three hundred twenty-two thousand, nine hundred ninety-one".