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232112211012 = 22351167332257
BaseRepresentation
bin1101100000101011110…
…1110100010001000100
3211012010022002000200000
43120022331310101010
512300331211223022
6254344134121300
722524646145313
oct3301275642104
9735108060600
10232112211012
118a490323670
1238b99ab0230
1318b71189176
14b33cc7427a
1560877286ac
hex360af74444

232112211012 has 144 divisors (see below), whose sum is σ = 664780089792. Its totient is φ = 70230343680.

The previous prime is 232112210959. The next prime is 232112211073. The reversal of 232112211012 is 210112211232.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7179588 + ... + 7211844.

Almost surely, 2232112211012 is an apocalyptic number.

232112211012 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 232112211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332390044896).

232112211012 is an abundant number, since it is smaller than the sum of its proper divisors (432667878780).

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

232112211012 is a wasteful number, since it uses less digits than its factorization.

232112211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32960 (or 32946 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 232112211012 its reverse (210112211232), we get a palindrome (442224422244).

The spelling of 232112211012 in words is "two hundred thirty-two billion, one hundred twelve million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 673 891 972 1188 1346 1782 2019 2673 2692 3564 4038 5346 6057 7403 8076 10692 12114 14806 18171 22209 24228 29612 32257 36342 44418 54513 64514 66627 72684 88836 96771 109026 129028 133254 163539 193542 199881 218052 266508 290313 327078 354827 387084 399762 580626 599643 654156 709654 799524 870939 1064481 1161252 1199286 1419308 1741878 1798929 2128962 2398572 2612817 3193443 3483756 3597858 4257924 5225634 6386886 7195716 7838451 9580329 10451268 12773772 15676902 19160658 21708961 28740987 31353804 38321316 43417922 57481974 65126883 86222961 86835844 114963948 130253766 172445922 195380649 238798571 260507532 344891844 390761298 477597142 586141947 716395713 781522596 955194284 1172283894 1432791426 1758425841 2149187139 2344567788 2865582852 3516851682 4298374278 5275277523 6447561417 7033703364 8596748556 10550555046 12895122834 19342684251 21101110092 25790245668 38685368502 58028052753 77370737004 116056105506 232112211012