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232110141011232 = 253112101197840927
BaseRepresentation
bin110100110001101001011010…
…100000001111010100100000
31010102211111211210220202102220
4310301221122200033110200
5220410343032044324412
62141353532101511040
766614255446454031
oct6461513240172440
91112744753822386
10232110141011232
1167a593a3558100
1222048600712480
139c68b7a731a93
14414629566ca88
151bc7ab64e468c
hexd31a5a80f520

232110141011232 has 144 divisors (see below), whose sum is σ = 676345327370496. Its totient is φ = 69640005952000.

The previous prime is 232110141011219. The next prime is 232110141011249.

232110141011232 is nontrivially palindromic in base 10.

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 23 ways as a sum of consecutive naturals, for example, 97747248 + ... + 100093679.

It is an arithmetic number, because the mean of its divisors is an integer number (4696842551184).

Almost surely, 2232110141011232 is an apocalyptic number.

232110141011232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232110141011232 is an abundant number, since it is smaller than the sum of its proper divisors (444235186359264).

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

232110141011232 is a wasteful number, since it uses less digits than its factorization.

232110141011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197841063 (or 197841044 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 232110141011232 in words is "two hundred thirty-two trillion, one hundred ten billion, one hundred forty-one million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 101 121 132 176 202 242 264 303 352 363 404 484 528 606 726 808 968 1056 1111 1212 1452 1616 1936 2222 2424 2904 3232 3333 3872 4444 4848 5808 6666 8888 9696 11616 12221 13332 17776 24442 26664 35552 36663 48884 53328 73326 97768 106656 146652 195536 293304 391072 586608 1173216 197840927 395681854 593522781 791363708 1187045562 1582727416 2176250197 2374091124 3165454832 4352500394 4748182248 6330909664 6528750591 8705000788 9496364496 13057501182 17410001576 18992728992 19981933627 23938752167 26115002364 34820003152 39963867254 47877504334 52230004728 59945800881 69640006304 71816256501 79927734508 95755008668 104460009456 119891601762 143632513002 159855469016 191510017336 208920018912 219801269897 239783203524 287265026004 319710938032 383020034672 439602539794 479566407048 574530052008 639421876064 659403809691 766040069344 879205079588 959132814096 1149060104016 1318807619382 1758410159176 1918265628192 2298120208032 2417813968867 2637615238764 3516820318352 4835627937734 5275230477528 7033640636704 7253441906601 9671255875468 10550460955056 14506883813202 19342511750936 21100921910112 29013767626404 38685023501872 58027535252808 77370047003744 116055070505616 232110141011232