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312779368117 is a prime number
BaseRepresentation
bin1001000110100110001…
…10100110011010110101
31002220100010120012011101
410203103012212122311
520111033004234432
6355404443210101
731411651522336
oct4432306463265
91086303505141
10312779368117
11110715887757
1250751216931
13236585a13a8
14111d247828d
15820957d4e7
hex48d31a66b5

312779368117 has 2 divisors, whose sum is σ = 312779368118. Its totient is φ = 312779368116.

The previous prime is 312779367983. The next prime is 312779368129. The reversal of 312779368117 is 711863977213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 265919674276 + 46859693841 = 515674^2 + 216471^2 .

It is a cyclic number.

It is not a de Polignac number, because 312779368117 - 223 = 312770979509 is a prime.

It is a super-2 number, since 2×3127793681172 (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 (312779768117) 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, 156389684058 + 156389684059.

It is an arithmetic number, because the mean of its divisors is an integer number (156389684059).

Almost surely, 2312779368117 is an apocalyptic number.

It is an amenable number.

312779368117 is a deficient number, since it is larger than the sum of its proper divisors (1).

312779368117 is an equidigital number, since it uses as much as digits as its factorization.

312779368117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2667168, while the sum is 55.

The spelling of 312779368117 in words is "three hundred twelve billion, seven hundred seventy-nine million, three hundred sixty-eight thousand, one hundred seventeen".