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100032131320 = 23511269384421
BaseRepresentation
bin101110100101001100…
…0010011000011111000
3100120012102002210010121
41131022120103003320
53114331211200240
6113542031423024
710140614041552
oct1351230230370
9316172083117
10100032131320
1139472591910
1217478684a74
13958237c864
144bad4264d2
152906e8504a
hex174a6130f8

100032131320 has 64 divisors (see below), whose sum is σ = 245627497440. Its totient is φ = 36361382400.

The previous prime is 100032131299. The next prime is 100032131341. The reversal of 100032131320 is 23131230001.

It is an interprime number because it is at equal distance from previous prime (100032131299) and next prime (100032131341).

It is a junction number, because it is equal to n+sod(n) for n = 100032131294 and 100032131303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1142710 + ... + 1227130.

Almost surely, 2100032131320 is an apocalyptic number.

100032131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100032131320 is an abundant number, since it is smaller than the sum of its proper divisors (145595366120).

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

100032131320 is a wasteful number, since it uses less digits than its factorization.

100032131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87136 (or 87132 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100032131320 its reverse (23131230001), we get a palindrome (123163361321).

The spelling of 100032131320 in words is "one hundred billion, thirty-two million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2693 5386 10772 13465 21544 26930 29623 53860 59246 84421 107720 118492 148115 168842 236984 296230 337684 422105 592460 675368 844210 928631 1184920 1688420 1857262 3376840 3714524 4643155 7429048 9286310 18572620 37145240 227345753 454691506 909383012 1136728765 1818766024 2273457530 2500803283 4546915060 5001606566 9093830120 10003213132 12504016415 20006426264 25008032830 50016065660 100032131320