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312342400121031 = 3274957815874937
BaseRepresentation
bin100011100000100101110000…
…1110011101011100011000111
31111221220122022220021000222200
41013001023201303223203013
5311414404213412333111
63024144041233125543
7122534664563505240
oct10701134163534307
91457818286230880
10312342400121031
1190581739134065
122b0460719b98b3
13105389ba0045c7
14571b64a7b5cc7
152619b214c2256
hex11c12e1ceb8c7

312342400121031 has 12 divisors (see below), whose sum is σ = 515612850993552. Its totient is φ = 178481371497696.

The previous prime is 312342400121023. The next prime is 312342400121137. The reversal of 312342400121031 is 130121004243213.

312342400121031 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 42 + 400 + 1 + 210 + 3 + 1 = 666.

It is not a de Polignac number, because 312342400121031 - 23 = 312342400121023 is a prime.

It is a super-2 number, since 2×3123424001210312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312342400120986 and 312342400121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312342400111031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2478907937406 + ... + 2478907937531.

It is an arithmetic number, because the mean of its divisors is an integer number (42967737582796).

Almost surely, 2312342400121031 is an apocalyptic number.

312342400121031 is a deficient number, since it is larger than the sum of its proper divisors (203270450872521).

312342400121031 is a wasteful number, since it uses less digits than its factorization.

312342400121031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4957815874950 (or 4957815874947 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 312342400121031 its reverse (130121004243213), we get a palindrome (442463404364244).

The spelling of 312342400121031 in words is "three hundred twelve trillion, three hundred forty-two billion, four hundred million, one hundred twenty-one thousand, thirty-one".

Divisors: 1 3 7 9 21 63 4957815874937 14873447624811 34704711124559 44620342874433 104114133373677 312342400121031