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233211012013320 = 2335111664910611749
BaseRepresentation
bin110101000001101010101011…
…100001110101110100001000
31010120201202101101221000102020
4311001222223201311310020
5221031412123033411240
62143555354312004440
7100056640165544205
oct6501525341656410
91116652341830366
10233211012013320
1168343264534930
12221a5a34090720
13a01891cabc8b3
14418368a6a4cac
151be65486950d0
hexd41aab875d08

233211012013320 has 128 divisors (see below), whose sum is σ = 763281954000000. Its totient is φ = 56532601825280.

The previous prime is 233211012013313. The next prime is 233211012013429. The reversal of 233211012013320 is 23310210112332.

It is a super-2 number, since 2×2332110120133202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 16670806 + ... + 27282554.

It is an arithmetic number, because the mean of its divisors is an integer number (5963140265625).

Almost surely, 2233211012013320 is an apocalyptic number.

233211012013320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233211012013320 is an abundant number, since it is smaller than the sum of its proper divisors (530070941986680).

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

233211012013320 is a wasteful number, since it uses less digits than its factorization.

233211012013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10628423 (or 10628419 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 233211012013320 its reverse (23310210112332), we get a palindrome (256521222125652).

The spelling of 233211012013320 in words is "two hundred thirty-three trillion, two hundred eleven billion, twelve million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 16649 33298 49947 66596 83245 99894 133192 166490 183139 199788 249735 332980 366278 399576 499470 549417 665960 732556 915695 998940 1098834 1465112 1831390 1997880 2197668 2747085 3662780 4395336 5494170 7325560 10611749 10988340 21223498 21976680 31835247 42446996 53058745 63670494 84893992 106117490 116729239 127340988 159176235 212234980 233458478 254681976 318352470 350187717 424469960 466916956 583646195 636704940 700375434 933833912 1167292390 1273409880 1400750868 1750938585 2334584780 2801501736 3501877170 4669169560 7003754340 14007508680 176675009101 353350018202 530025027303 706700036404 883375045505 1060050054606 1413400072808 1766750091010 1943425100111 2120100109212 2650125136515 3533500182020 3886850200222 4240200218424 5300250273030 5830275300333 7067000364040 7773700400444 9717125500555 10600500546060 11660550600666 15547400800888 19434251001110 21201001092120 23321101201332 29151376501665 38868502002220 46642202402664 58302753003330 77737004004440 116605506006660 233211012013320