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112327772520 = 233523934711287
BaseRepresentation
bin110100010011101000…
…0011100100101101000
3101201221022112001222010
41220213100130211220
53320021402210040
6123334101555520
711054405212155
oct1504720344550
9351838461863
10112327772520
1143702110057
121992a415ba0
13a7918471b2
14561840122c
152dc6652e80
hex1a2741c968

112327772520 has 128 divisors (see below), whose sum is σ = 339398553600. Its totient is φ = 29740144896.

The previous prime is 112327772519. The next prime is 112327772539. The reversal of 112327772520 is 25277723211.

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, 9946317 + ... + 9957603.

It is an arithmetic number, because the mean of its divisors is an integer number (2651551200).

Almost surely, 2112327772520 is an apocalyptic number.

112327772520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112327772520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169699276800).

112327772520 is an abundant number, since it is smaller than the sum of its proper divisors (227070781080).

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

112327772520 is a wasteful number, since it uses less digits than its factorization.

112327772520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11887 (or 11883 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The spelling of 112327772520 in words is "one hundred twelve billion, three hundred twenty-seven million, seven hundred seventy-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 347 478 694 717 956 1041 1195 1388 1434 1735 1912 2082 2390 2776 2868 3470 3585 4164 4780 5205 5736 6940 7170 8328 9560 10410 11287 13880 14340 20820 22574 28680 33861 41640 45148 56435 67722 82933 90296 112870 135444 165866 169305 225740 248799 270888 331732 338610 414665 451480 497598 663464 677220 829330 995196 1243995 1354440 1658660 1990392 2487990 2697593 3317320 3916589 4975980 5395186 7833178 8092779 9951960 10790372 11749767 13487965 15666356 16185558 19582945 21580744 23499534 26975930 31332712 32371116 39165890 40463895 46999068 53951860 58748835 64742232 78331780 80927790 93998136 107903720 117497670 156663560 161855580 234995340 323711160 469990680 936064771 1872129542 2808194313 3744259084 4680323855 5616388626 7488518168 9360647710 11232777252 14040971565 18721295420 22465554504 28081943130 37442590840 56163886260 112327772520