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23261122116232 = 23711135122956701
BaseRepresentation
bin1010100100111111001101…
…11010111011101010001000
310001100202000121001200102221
411102133212322323222020
511022102234230204412
6121250002330503424
74620363201445420
oct522374672735210
9101322017050387
1023261122116232
117458a94022560
1227381b2894b74
13cc968c1b5390
145a5bb6b43480
152a511da55b07
hex1527e6ebba88

23261122116232 has 128 divisors (see below), whose sum is σ = 58561644153600. Its totient is φ = 8365327488000.

The previous prime is 23261122116217. The next prime is 23261122116241.

23261122116232 is nontrivially palindromic in base 10.

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, 410213482 + ... + 410270182.

It is an arithmetic number, because the mean of its divisors is an integer number (457512844950).

Almost surely, 223261122116232 is an apocalyptic number.

23261122116232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23261122116232 is an abundant number, since it is smaller than the sum of its proper divisors (35300522037368).

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

23261122116232 is a wasteful number, since it uses less digits than its factorization.

23261122116232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107967 (or 107963 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The spelling of 23261122116232 in words is "twenty-three trillion, two hundred sixty-one billion, one hundred twenty-two million, one hundred sixteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 51229 56701 102458 113402 204916 226804 358603 396907 409832 453608 563519 623711 665977 717206 737113 793814 1127038 1247422 1331954 1434412 1474226 1587628 2254076 2494844 2663908 2868824 2948452 3175256 3944633 4365977 4508152 4661839 4989688 5159791 5327816 5896904 7325747 7889266 8108243 8731954 9323678 10319582 14651494 15778532 16216486 17463908 18647356 20639164 29302988 31557064 32432972 34927816 37294712 41278328 51280229 56757701 58605976 64865944 102560458 113515402 205120916 227030804 410241832 454061608 2904735529 5809471058 11618942116 20333148703 23237884232 31952090819 37761561877 40666297406 63904181638 75523123754 81332594812 127808363276 151046247508 162665189624 223664635733 255616726552 264330933139 302092495016 415377180647 447329271466 528661866278 830754361294 894658542932 1057323732556 1661508722588 1789317085864 2114647465112 2907640264529 3323017445176 5815280529058 11630561058116 23261122116232