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202431343134202 = 27213892035787701
BaseRepresentation
bin101110000001110000111000…
…010011001000010111111010
3222112202020200100200110122121
4232001300320103020113322
5203013113342320243302
61554311401502511454
760432116252053600
oct5601607023102772
9875666610613577
10202431343134202
1159556717909126
121a85467329558a
1388c5269884930
1437dba2d22d870
151860a8544ee37
hexb81c384c85fa

202431343134202 has 96 divisors (see below), whose sum is σ = 384690324105360. Its totient is φ = 79178130662400.

The previous prime is 202431343134199. The next prime is 202431343134227.

202431343134202 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 98325052978201 + 104106290156001 = 9915899^2 + 10203249^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2308154952 + ... + 2308242652.

Almost surely, 2202431343134202 is an apocalyptic number.

202431343134202 is a deficient number, since it is larger than the sum of its proper divisors (182258980971158).

202431343134202 is a wasteful number, since it uses less digits than its factorization.

202431343134202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108176 (or 108169 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

The spelling of 202431343134202 in words is "two hundred two trillion, four hundred thirty-one billion, three hundred forty-three million, one hundred thirty-four thousand, two hundred two".

Divisors: 1 2 7 13 14 26 49 89 91 98 178 182 623 637 1157 1246 1274 2314 4361 8099 8722 16198 20357 40714 56693 87701 113386 142499 175402 264641 284998 529282 613907 997493 1140113 1227814 1811773 1852487 1994986 2280226 3623546 3704974 4297349 7805389 7980791 8594698 12682411 12967409 15610778 15961582 23553049 25364822 25934818 47106098 54637723 55865537 88776877 101470057 109275446 111731074 164871343 177553754 202940114 329742686 382464061 710290399 764928122 1154099401 1420580798 1785329257 2308198802 3570658514 4972032793 9944065586 12497304799 23209280341 24994609598 46418560682 87481133593 158894303873 162464962387 174962267186 317788607746 324929924774 1112260127111 1137254736709 2065625950349 2224520254222 2274509473418 4131251900698 7785820889777 14459381652443 15571641779554 28918763304886 101215671567101 202431343134202