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100013321112 = 23317673658667
BaseRepresentation
bin101110100100101000…
…0100010101110011000
3100120011002201010101020
41131021100202232120
53114311402233422
6113540120322440
710140265126365
oct1351120425630
9316132633336
10100013321112
1139462a04491
1217472313420
13957b4c4b63
144baab2b46c
1529054bb95c
hex1749422b98

100013321112 has 64 divisors (see below), whose sum is σ = 268692577920. Its totient is φ = 30908410368.

The previous prime is 100013321099. The next prime is 100013321123. The reversal of 100013321112 is 211123310001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100013321091 and 100013321100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1801998 + ... + 1856669.

It is an arithmetic number, because the mean of its divisors is an integer number (4198321530).

Almost surely, 2100013321112 is an apocalyptic number.

100013321112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100013321112 is an abundant number, since it is smaller than the sum of its proper divisors (168679256808).

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

100013321112 is a wasteful number, since it uses less digits than its factorization.

100013321112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658760 (or 3658756 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100013321112 its reverse (211123310001), we get a palindrome (311136631113).

The spelling of 100013321112 in words is "one hundred billion, thirteen million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 67 68 102 134 136 201 204 268 402 408 536 804 1139 1608 2278 3417 4556 6834 9112 13668 27336 3658667 7317334 10976001 14634668 21952002 29269336 43904004 62197339 87808008 124394678 186592017 245130689 248789356 373184034 490261378 497578712 735392067 746368068 980522756 1470784134 1492736136 1961045512 2941568268 4167221713 5883136536 8334443426 12501665139 16668886852 25003330278 33337773704 50006660556 100013321112