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221214341111304 = 233294359125280527
BaseRepresentation
bin110010010011000101111010…
…001110001001111000001000
31002000020212212210010121112010
4302103011322032021320020
5212443333432311030204
62102252244304015520
764411131410434542
oct6223057216117010
91060225783117463
10221214341111304
1164538525569682
12209889a33015a0
13965856602c898
143c8ab8ccb8692
151a8945cb73d89
hexc9317a389e08

221214341111304 has 128 divisors (see below), whose sum is σ = 595333069056000. Its totient is φ = 68361072939264.

The previous prime is 221214341111299. The next prime is 221214341111311. The reversal of 221214341111304 is 403111143412122.

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, 60874512 + ... + 64406015.

It is an arithmetic number, because the mean of its divisors is an integer number (4651039602000).

Almost surely, 2221214341111304 is an apocalyptic number.

221214341111304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221214341111304 is an abundant number, since it is smaller than the sum of its proper divisors (374118727944696).

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

221214341111304 is a wasteful number, since it uses less digits than its factorization.

221214341111304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125280667 (or 125280663 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 221214341111304 its reverse (403111143412122), we get a palindrome (624325484523426).

The spelling of 221214341111304 in words is "two hundred twenty-one trillion, two hundred fourteen billion, three hundred forty-one million, one hundred eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 59 86 87 116 118 129 172 174 177 232 236 258 344 348 354 472 516 696 708 1032 1247 1416 1711 2494 2537 3422 3741 4988 5074 5133 6844 7482 7611 9976 10148 10266 13688 14964 15222 20296 20532 29928 30444 41064 60888 73573 147146 220719 294292 441438 588584 882876 1765752 125280527 250561054 375841581 501122108 751683162 1002244216 1503366324 3006732648 3633135283 5387062661 7266270566 7391551093 10774125322 10899405849 14532541132 14783102186 16161187983 21548250644 21798811698 22174653279 29065082264 29566204372 32322375966 43096501288 43597623396 44349306558 59132408744 64644751932 87195246792 88698613116 129289503864 156224817169 177397226232 214354981697 312449634338 317836696999 428709963394 468674451507 624899268676 635673393998 643064945091 857419926788 937348903014 953510090997 1249798537352 1271346787996 1286129890182 1714839853576 1874697806028 1907020181994 2542693575992 2572259780364 3749395612056 3814040363988 5144519560728 7628080727976 9217264212971 18434528425942 27651792638913 36869056851884 55303585277826 73738113703768 110607170555652 221214341111304