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312427131561 = 3426267146843
BaseRepresentation
bin1001000101111100001…
…10111011001010101001
31002212102120202201110000
410202332012323022221
520104322321202221
6355305501413213
731400143541526
oct4427606731251
91085376681400
10312427131561
11110554a75166
125067326a209
13236006141ac
141119b78814d
1581d86a1e26
hex48be1bb2a9

312427131561 has 20 divisors (see below), whose sum is σ = 466733081232. Its totient is φ = 208275406488.

The previous prime is 312427131559. The next prime is 312427131563. The reversal of 312427131561 is 165131724213.

312427131561 is a `hidden beast` number, since 3 + 1 + 24 + 2 + 71 + 3 + 1 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (312427131559) and next prime (312427131563).

It is not a de Polignac number, because 312427131561 - 21 = 312427131559 is a prime.

It is a super-2 number, since 2×3124271315612 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312427131563) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2054206 + ... + 2201048.

Almost surely, 2312427131561 is an apocalyptic number.

It is an amenable number.

312427131561 is a deficient number, since it is larger than the sum of its proper divisors (154305949671).

312427131561 is a wasteful number, since it uses less digits than its factorization.

312427131561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173122 (or 173113 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

Adding to 312427131561 its reverse (165131724213), we get a palindrome (477558855774).

The spelling of 312427131561 in words is "three hundred twelve billion, four hundred twenty-seven million, one hundred thirty-one thousand, five hundred sixty-one".

Divisors: 1 3 9 27 81 26267 78801 146843 236403 440529 709209 1321587 2127627 3964761 11894283 3857125081 11571375243 34714125729 104142377187 312427131561