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31371458130 = 23251720504221
BaseRepresentation
bin11101001101111000…
…100111011001010010
32222222022221012020200
4131031320213121102
51003222043130010
622224543120030
72160261665025
oct351570473122
988868835220
1031371458130
1112339408901
1260b62a3016
132c5c55c49c
14173864b1bc
15c39231cc0
hex74de27652

31371458130 has 48 divisors (see below), whose sum is σ = 86363783064. Its totient is φ = 7873620480.

The previous prime is 31371458123. The next prime is 31371458141. The reversal of 31371458130 is 3185417313.

31371458130 is a `hidden beast` number, since 3 + 1 + 3 + 71 + 4 + 581 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21574615689 + 9796842441 = 146883^2 + 98979^2 .

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 10250581 + ... + 10253640.

Almost surely, 231371458130 is an apocalyptic number.

31371458130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31371458130 is an abundant number, since it is smaller than the sum of its proper divisors (54992324934).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31371458130 is a wasteful number, since it uses less digits than its factorization.

31371458130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20504251 (or 20504248 counting only the distinct ones).

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

The spelling of 31371458130 in words is "thirty-one billion, three hundred seventy-one million, four hundred fifty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 20504221 41008442 61512663 102521105 123025326 184537989 205042210 307563315 348571757 369075978 615126630 697143514 922689945 1045715271 1742858785 1845379890 2091430542 3137145813 3485717570 5228576355 6274291626 10457152710 15685729065 31371458130