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100222221220220 = 2251117231165103711
BaseRepresentation
bin10110110010011011001101…
…111001001111100101111100
3111010212011001220202011100102
4112302123031321033211330
5101114020102113021340
6553053241450420232
730052550033302661
oct2662331571174574
9433764056664312
10100222221220220
1129a300070aaa90
12b2a78a3131678
1343bcbb8091028
141aa6ad21bba68
15b8c0239be215
hex5b26cde4f97c

100222221220220 has 96 divisors (see below), whose sum is σ = 253675701006336. Its totient is φ = 32809320473600.

The previous prime is 100222221220217. The next prime is 100222221220283. The reversal of 100222221220220 is 22022122222001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100222221220192 and 100222221220201.

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, 582465836 + ... + 582637875.

It is an arithmetic number, because the mean of its divisors is an integer number (2642455218816).

Almost surely, 2100222221220220 is an apocalyptic number.

100222221220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222221220220 is an abundant number, since it is smaller than the sum of its proper divisors (153453479786116).

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

100222221220220 is a wasteful number, since it uses less digits than its factorization.

100222221220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165103771 (or 1165103769 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 100222221220220 its reverse (22022122222001), we get a palindrome (122244343442221).

The spelling of 100222221220220 in words is "one hundred trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 23 34 44 46 55 68 85 92 110 115 170 187 220 230 253 340 374 391 460 506 748 782 935 1012 1265 1564 1870 1955 2530 3740 3910 4301 5060 7820 8602 17204 21505 43010 86020 1165103711 2330207422 4660414844 5825518555 11651037110 12816140821 19806763087 23302074220 25632281642 26797385353 39613526174 51264563284 53594770706 64080704105 79227052348 99033815435 107189541412 128161408210 133986926765 198067630870 217874393957 256322816420 267973853530 294771238883 396135261740 435748787914 455555551001 535947707060 589542477766 871497575828 911111102002 1089371969785 1179084955532 1473856194415 1822222204004 2178743939570 2277777755005 2947712388830 4357487879140 4555555510010 5011111061011 5895424777660 9111111020020 10022222122022 20044444244044 25055555305055 50111110610110 100222221220220