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100112012120220 = 223523517114029189
BaseRepresentation
bin10110110000110100100100…
…111010111001000010011100
3111010110121121020212210200220
4112300310210322321002130
5101110213400100321340
6552530453511121340
730041565662354352
oct2660644472710234
9433417536783626
10100112012120220
11299982a1a21a61
12b28a466373250
1343b26a3471b19
141aa16393277d2
15b89223370ed0
hex5b0d24eb909c

100112012120220 has 96 divisors (see below), whose sum is σ = 292557769781760. Its totient is φ = 25530877489920.

The previous prime is 100112012120213. The next prime is 100112012120261. The reversal of 100112012120220 is 22021210211001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100112012120220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121386 + ... + 14150574.

It is an arithmetic number, because the mean of its divisors is an integer number (3047476768560).

Almost surely, 2100112012120220 is an apocalyptic number.

100112012120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112012120220 is an abundant number, since it is smaller than the sum of its proper divisors (192445757661540).

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

100112012120220 is a wasteful number, since it uses less digits than its factorization.

100112012120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14034395 (or 14034393 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100112012120220 its reverse (22021210211001), we get a palindrome (122133222331221).

The spelling of 100112012120220 in words is "one hundred trillion, one hundred twelve billion, twelve million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 5171 10342 15513 20684 25855 31026 51710 62052 77565 103420 118933 155130 237866 310260 356799 475732 594665 713598 1189330 1427196 1783995 2378660 3567990 7135980 14029189 28058378 42087567 56116756 70145945 84175134 140291890 168350268 210437835 280583780 322671347 420875670 645342694 841751340 968014041 1290685388 1613356735 1936028082 3226713470 3872056164 4840070205 6453426940 9680140410 19360280820 72544936319 145089872638 217634808957 290179745276 362724681595 435269617914 725449363190 870539235828 1088174044785 1450898726380 1668533535337 2176348089570 3337067070674 4352696179140 5005600606011 6674134141348 8342667676685 10011201212022 16685335353370 20022402424044 25028003030055 33370670706740 50056006060110 100112012120220