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100102202110200 = 233521491119711433
BaseRepresentation
bin10110110000101011011100…
…001100101011000011111000
3111010102200021120121122211110
4112300223130030223003320
5101110033302220011300
6552522152232400320
730041100612556143
oct2660533414530370
9433380246548743
10100102202110200
1129994118483264
12b288588b460a0
1343b179bc45674
141aa0d884dd05a
15b88d4bee1550
hex5b0adc32b0f8

100102202110200 has 96 divisors (see below), whose sum is σ = 312399490086000. Its totient is φ = 26514766709760.

The previous prime is 100102202110177. The next prime is 100102202110213. The reversal of 100102202110200 is 2011202201001.

It is a super-2 number, since 2×1001022021102002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559766317 + ... + 559945116.

Almost surely, 2100102202110200 is an apocalyptic number.

100102202110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102202110200 is an abundant number, since it is smaller than the sum of its proper divisors (212297287975800).

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

100102202110200 is a wasteful number, since it uses less digits than its factorization.

100102202110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119711601 (or 1119711592 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102202110200 its reverse (2011202201001), we get a palindrome (102113404311201).

The spelling of 100102202110200 in words is "one hundred trillion, one hundred two billion, two hundred two million, one hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 149 150 200 298 300 447 596 600 745 894 1192 1490 1788 2235 2980 3576 3725 4470 5960 7450 8940 11175 14900 17880 22350 29800 44700 89400 1119711433 2239422866 3359134299 4478845732 5598557165 6718268598 8957691464 11197114330 13436537196 16795671495 22394228660 26873074392 27992785825 33591342990 44788457320 55985571650 67182685980 83978357475 111971143300 134365371960 166837003517 167956714950 223942286600 333674007034 335913429900 500511010551 667348014068 671826859800 834185017585 1001022021102 1334696028136 1668370035170 2002044042204 2502555052755 3336740070340 4004088084408 4170925087925 5005110105510 6673480140680 8341850175850 10010220211020 12512775263775 16683700351700 20020440422040 25025550527550 33367400703400 50051101055100 100102202110200