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100112132304 = 2433254391129
BaseRepresentation
bin101110100111100100…
…1011110100011010000
3100120101222122020212000
41131033021132203100
53120012201213204
6113554010234000
710142605040562
oct1351711364320
9316358566760
10100112132304
1139503763828
121749b425900
139595b10512
144bb9ccd332
15290ded9039
hex174f25e8d0

100112132304 has 80 divisors (see below), whose sum is σ = 287475052800. Its totient is φ = 33357222144.

The previous prime is 100112132279. The next prime is 100112132369. The reversal of 100112132304 is 403231211001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1053012 + ... + 1144140.

It is an arithmetic number, because the mean of its divisors is an integer number (3593438160).

Almost surely, 2100112132304 is an apocalyptic number.

It is an amenable number.

100112132304 is an abundant number, since it is smaller than the sum of its proper divisors (187362920496).

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

100112132304 is a wasteful number, since it uses less digits than its factorization.

100112132304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93689 (or 93677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100112132304 its reverse (403231211001), we get a palindrome (503343343305).

The spelling of 100112132304 in words is "one hundred billion, one hundred twelve million, one hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2543 5086 7629 10172 15258 20344 22887 30516 40688 45774 61032 68661 91129 91548 122064 137322 182258 183096 273387 274644 364516 366192 546774 549288 729032 820161 1093548 1098576 1458064 1640322 2187096 2460483 3280644 4374192 4920966 6561288 9841932 13122576 19683864 39367728 231741047 463482094 695223141 926964188 1390446282 1853928376 2085669423 2780892564 3707856752 4171338846 5561785128 6257008269 8342677692 11123570256 12514016538 16685355384 25028033076 33370710768 50056066152 100112132304