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232111002001220 = 225197316195168237
BaseRepresentation
bin110100110001101010001101…
…110100101001111101000100
31010102211121001211000120122222
4310301222031310221331010
5220410401313003014340
62141354153335511512
766614316002656646
oct6461521564517504
91112747054016588
10232111002001220
1167a597a5565681
1222048800b28598
139c68c86c1a404
144146337b52896
151bc7b16db78b5
hexd31a8dd29f44

232111002001220 has 96 divisors (see below), whose sum is σ = 520437432009600. Its totient is φ = 86699350232064.

The previous prime is 232111002001211. The next prime is 232111002001279. The reversal of 232111002001220 is 22100200111232.

232111002001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 42326942 + ... + 47495178.

It is an arithmetic number, because the mean of its divisors is an integer number (5421223250100).

Almost surely, 2232111002001220 is an apocalyptic number.

232111002001220 is a gapful number since it is divisible by the number (20) 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 232111002001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260218716004800).

232111002001220 is an abundant number, since it is smaller than the sum of its proper divisors (288326430008380).

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

232111002001220 is a wasteful number, since it uses less digits than its factorization.

232111002001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5169957 (or 5169955 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 232111002001220 its reverse (22100200111232), we get a palindrome (254211202112452).

The spelling of 232111002001220 in words is "two hundred thirty-two trillion, one hundred eleven billion, two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 146 190 292 365 380 730 1387 1460 1619 2774 3238 5548 6476 6935 8095 13870 16190 27740 30761 32380 61522 118187 123044 153805 236374 307610 472748 590935 615220 1181870 2245553 2363740 4491106 5168237 8982212 10336474 11227765 20672948 22455530 25841185 44911060 51682370 98196503 103364740 196393006 377281301 392786012 490982515 754562602 981965030 1509125204 1886406505 1963930060 3772813010 7168344719 7545626020 8367375703 14336689438 16734751406 28673378876 33469502812 35841723595 41836878515 71683447190 83673757030 143366894380 158980138357 167347514060 317960276714 610818426319 635920553428 794900691785 1221636852638 1589801383570 2443273705276 3054092131595 3179602767140 6108184263190 11605550100061 12216368526380 23211100200122 46422200400244 58027750500305 116055501000610 232111002001220