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202221212011020 = 223253730363545347
BaseRepresentation
bin101101111110101101001011…
…100000100000101000001100
3222112000011021221220101211200
4231332231023200200220030
5203001143020233323040
61554031050423345500
760411000102015366
oct5576551340405014
9875004257811750
10202221212011020
1159485597314154
121a81b9aa8b2290
1388ab4bc658517
1437d17b7815d36
15185a38786b630
hexb7eb4b820a0c

202221212011020 has 72 divisors (see below), whose sum is σ = 629982838880304. Its totient is φ = 52468206357888.

The previous prime is 202221212011001. The next prime is 202221212011037. The reversal of 202221212011020 is 20110212122202.

It is a happy number.

202221212011020 is a `hidden beast` number, since 20 + 222 + 121 + 201 + 102 + 0 = 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 = 202221212010984 and 202221212011002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15181766014 + ... + 15181779333.

Almost surely, 2202221212011020 is an apocalyptic number.

202221212011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221212011020 is an abundant number, since it is smaller than the sum of its proper divisors (427761626869284).

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

202221212011020 is a wasteful number, since it uses less digits than its factorization.

202221212011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30363545399 (or 30363545394 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202221212011020 its reverse (20110212122202), we get a palindrome (222331424133222).

The spelling of 202221212011020 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred twelve million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 30363545347 60727090694 91090636041 121454181388 151817726735 182181272082 273271908123 303635453470 364362544164 455453180205 546543816246 607270906940 910906360410 1093087632492 1123451177839 1366359540615 1821812720820 2246902355678 2732719081230 3370353533517 4493804711356 5465438162460 5617255889195 6740707067034 10111060600551 11234511778390 13481414134068 16851767667585 20222121201102 22469023556780 33703535335170 40444242402204 50555303002755 67407070670340 101110606005510 202221212011020