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232101223112 = 2311194710129243
BaseRepresentation
bin1101100000101001001…
…1111001101011001000
3211012002112101210002202
43120022103321223020
512300320403114422
6254343102415332
722524453562523
oct3301223715310
9735075353082
10232101223112
118a4850a9260
1238b96291548
1318b6bb0ca55
14b33b613bba
1560867a7b92
hex360a4f9ac8

232101223112 has 128 divisors (see below), whose sum is σ = 515443046400. Its totient is φ = 96849504000.

The previous prime is 232101223097. The next prime is 232101223127. The reversal of 232101223112 is 211322101232.

232101223112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232101223097) and next prime (232101223127).

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, 7922363 + ... + 7951605.

It is an arithmetic number, because the mean of its divisors is an integer number (4026898800).

Almost surely, 2232101223112 is an apocalyptic number.

232101223112 is a gapful number since it is divisible by the number (22) 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 232101223112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257721523200).

232101223112 is an abundant number, since it is smaller than the sum of its proper divisors (283341823288).

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

232101223112 is a wasteful number, since it uses less digits than its factorization.

232101223112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29427 (or 29423 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 232101223112 its reverse (211322101232), we get a palindrome (443423324344).

The spelling of 232101223112 in words is "two hundred thirty-two billion, one hundred one million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 47 76 88 94 101 152 188 202 209 376 404 418 517 808 836 893 1034 1111 1672 1786 1919 2068 2222 3572 3838 4136 4444 4747 7144 7676 8888 9494 9823 15352 18988 19646 21109 29243 37976 39292 42218 52217 58486 78584 84436 90193 104434 116972 168872 180386 208868 233944 321673 360772 417736 555617 643346 721544 992123 1111234 1286692 1374421 1984246 2222468 2573384 2748842 2953543 3968492 4444936 5497684 5907086 6111787 7936984 10995368 11814172 12223574 15118631 23628344 24447148 26113999 30237262 32488973 48894296 52227998 56117317 60474524 64977946 104455996 112234634 120949048 129955892 138816521 208911992 224469268 259911784 277633042 287253989 448938536 555266084 574507978 617290487 1110532168 1149015956 1234580974 1526981731 2298031912 2469161948 2637513899 3053963462 4938323896 5275027798 6107926924 10550055596 12215853848 21100111192 29012652889 58025305778 116050611556 232101223112