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312131340231021 = 32174349660770999
BaseRepresentation
bin100011011111000011011110…
…1101010000110000101101101
31111221011110112202211201121100
41012332012331222012011231
5311402424441044343041
63023503054055153313
7122513513405160033
oct10676067552060555
91457143482751540
10312131340231021
11905001813498a3
122b01118a375839
1310521b2254bc1c
1457113478b4553
1526143bc0cd6b6
hex11be1bda8616d

312131340231021 has 48 divisors (see below), whose sum is σ = 477566107200000. Its totient is φ = 195769689813504.

The previous prime is 312131340231019. The next prime is 312131340231043. The reversal of 312131340231021 is 120132043131213.

312131340231021 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 1 + 340 + 2 + 310 + 2 + 1 = 666.

It is not a de Polignac number, because 312131340231021 - 21 = 312131340231019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131340231521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4396242480 + ... + 4396313478.

It is an arithmetic number, because the mean of its divisors is an integer number (9949293900000).

Almost surely, 2312131340231021 is an apocalyptic number.

It is an amenable number.

312131340231021 is a deficient number, since it is larger than the sum of its proper divisors (165434766968979).

312131340231021 is a wasteful number, since it uses less digits than its factorization.

312131340231021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81978 (or 81975 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 312131340231021 its reverse (120132043131213), we get a palindrome (432263383362234).

The spelling of 312131340231021 in words is "three hundred twelve trillion, one hundred thirty-one billion, three hundred forty million, two hundred thirty-one thousand, twenty-one".

Divisors: 1 3 9 17 51 153 4349 6607 13047 19821 39141 59463 70999 73933 112319 212997 221799 336957 638991 665397 1010871 1206983 3620949 10862847 28733843 86201529 258604587 308774651 469090393 488475331 926323953 1407271179 1465425993 2778971859 4221813537 4396277979 5249169067 7974536681 15747507201 23923610043 47242521603 71770830129 2040074119157 6120222357471 18360667072413 34681260025669 104043780077007 312131340231021