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31407100431 = 376722322033
BaseRepresentation
bin11101010000000000…
…100101001000001111
310000001211000000021220
4131100000211020033
51003310204203211
622232255054423
72161203643320
oct352000451017
9100054000256
1031407100431
1112357542453
126106211413
132c66a5b6c5
14173d288447
15c3c422806
hex75002520f

31407100431 has 16 divisors (see below), whose sum is σ = 48572745984. Its totient is φ = 17679049344.

The previous prime is 31407100429. The next prime is 31407100447. The reversal of 31407100431 is 13400170413.

It is not a de Polignac number, because 31407100431 - 21 = 31407100429 is a prime.

It is a super-2 number, since 2×314071004312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31407100411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11159610 + ... + 11162423.

It is an arithmetic number, because the mean of its divisors is an integer number (3035796624).

Almost surely, 231407100431 is an apocalyptic number.

31407100431 is a deficient number, since it is larger than the sum of its proper divisors (17165645553).

31407100431 is a wasteful number, since it uses less digits than its factorization.

31407100431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22322110.

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 31407100431 its reverse (13400170413), we get a palindrome (44807270844).

The spelling of 31407100431 in words is "thirty-one billion, four hundred seven million, one hundred thousand, four hundred thirty-one".

Divisors: 1 3 7 21 67 201 469 1407 22322033 66966099 156254231 468762693 1495576211 4486728633 10469033477 31407100431