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103233131232 = 25371113965521
BaseRepresentation
bin110000000100100101…
…1001001001011100000
3100212110111100102111220
41200021023021023200
53142410140144412
6115231420135040
710313133065040
oct1401113111340
9325414312456
10103233131232
113a865458490
1218010697480
1399725ab54a
144dd45d1720
152a42ece68c
hex18092c92e0

103233131232 has 96 divisors (see below), whose sum is σ = 337853908224. Its totient is φ = 26813798400.

The previous prime is 103233131231. The next prime is 103233131269. The reversal of 103233131232 is 232131332301.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103233131231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6975369 + ... + 6990152.

It is an arithmetic number, because the mean of its divisors is an integer number (3519311544).

Almost surely, 2103233131232 is an apocalyptic number.

103233131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103233131232 is an abundant number, since it is smaller than the sum of its proper divisors (234620776992).

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

103233131232 is a wasteful number, since it uses less digits than its factorization.

103233131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13965552 (or 13965544 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103233131232 its reverse (232131332301), we get a palindrome (335364463533).

The spelling of 103233131232 in words is "one hundred three billion, two hundred thirty-three million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 13965521 27931042 41896563 55862084 83793126 97758647 111724168 153620731 167586252 195517294 223448336 293275941 307241462 335172504 391034588 446896672 460862193 586551882 614482924 670345008 782069176 921724386 1075345117 1173103764 1228965848 1340690016 1564138352 1843448772 2150690234 2346207528 2457931696 3128276704 3226035351 3686897544 4301380468 4692415056 4915863392 6452070702 7373795088 8602760936 9384830112 12904141404 14747590176 17205521872 25808282808 34411043744 51616565616 103233131232