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100102202222022 = 23471113617297531
BaseRepresentation
bin10110110000101011011100…
…001101000110010111000110
3111010102200021120211100020000
4112300223130031012113012
5101110033302232101042
6552522152235022130
730041100613533150
oct2660533415062706
9433380246740200
10100102202222022
112999411854a280
12b288588b9a946
1343b179bc84530
141aa0d8852bad0
15b88d4c01474c
hex5b0adc3465c6

100102202222022 has 160 divisors (see below), whose sum is σ = 301162181531904. Its totient is φ = 24000527966400.

The previous prime is 100102202221891. The next prime is 100102202222053. The reversal of 100102202222022 is 220222202201001.

100102202222022 is a `hidden beast` number, since 10 + 0 + 10 + 220 + 222 + 202 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100102202221986 and 100102202222004.

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 79 ways as a sum of consecutive naturals, for example, 308486604 + ... + 308810927.

Almost surely, 2100102202222022 is an apocalyptic number.

100102202222022 is an abundant number, since it is smaller than the sum of its proper divisors (201059979309882).

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

100102202222022 is a wasteful number, since it uses less digits than its factorization.

100102202222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617297576 (or 617297567 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100102202222022 its reverse (220222202201001), we get a palindrome (320324404423023).

The spelling of 100102202222022 in words is "one hundred trillion, one hundred two billion, two hundred two million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 81 91 99 117 126 143 154 162 182 189 198 231 234 273 286 297 351 378 429 462 546 567 594 693 702 819 858 891 1001 1053 1134 1287 1386 1638 1782 2002 2079 2106 2457 2574 3003 3861 4158 4914 6006 6237 7371 7722 9009 11583 12474 14742 18018 23166 27027 54054 81081 162162 617297531 1234595062 1851892593 3703785186 4321082717 5555677779 6790272841 8024867903 8642165434 11111355558 12963248151 13580545682 16049735806 16667033337 20370818523 24074603709 25926496302 33334066674 38889744453 40741637046 47531909887 48149207418 50001100011 56174075321 61112455569 72223811127 77779488906 88273546933 95063819774 100002200022 112348150642 116669233359 122224911138 142595729661 144447622254 168522225963 176547093866 183337366707 216671433381 233338466718 264820640799 285191459322 337044451926 350007700077 366674733414 427787188983 433342866762 505566677889 529641281598 550012100121 617914828531 650014300143 700015400154 794461922397 855574377966 1011133355778 1100024200242 1235829657062 1283361566949 1300028600286 1516700033667 1588923844794 1853744485593 2383385767191 2566723133898 3033400067334 3707488971186 3850084700847 4550100101001 4766771534382 5561233456779 7150157301573 7700169401694 9100200202002 11122466913558 14300314603146 16683700370337 33367400740674 50051101111011 100102202222022