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31011121092 = 22371973926293
BaseRepresentation
bin11100111000011010…
…000010011111000100
32222001012220011202110
4130320122002133010
51002002321333332
622125111541020
72145325115520
oct347032023704
988035804673
1031011121092
1112173a732a6
12601568a770
132c029c71c3
14170284cd80
15c177a54cc
hex7386827c4

31011121092 has 96 divisors (see below), whose sum is σ = 87169868800. Its totient is φ = 8382310272.

The previous prime is 31011121069. The next prime is 31011121093. The reversal of 31011121092 is 29012111013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (31011121093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1166298 + ... + 1192590.

Almost surely, 231011121092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31011121092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43584934400).

31011121092 is an abundant number, since it is smaller than the sum of its proper divisors (56158747708).

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

31011121092 is a wasteful number, since it uses less digits than its factorization.

31011121092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27065 (or 27063 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 31011121092 in words is "thirty-one billion, eleven million, one hundred twenty-one thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 739 798 1478 1596 2217 2956 4434 5173 8868 10346 14041 15519 20692 26293 28082 31038 42123 52586 56164 62076 78879 84246 98287 105172 157758 168492 184051 196574 294861 315516 368102 393148 499567 552153 589722 736204 999134 1104306 1179444 1498701 1998268 2208612 2997402 3496969 5994804 6993938 10490907 13987876 19430527 20981814 38861054 41963628 58291581 77722108 116583162 136013689 233166324 272027378 369180013 408041067 544054756 738360026 816082134 1107540039 1476720052 1632164268 2215080078 2584260091 4430160156 5168520182 7752780273 10337040364 15505560546 31011121092