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4312332112 = 2411194171443
BaseRepresentation
bin1000000010000100…
…01111011101010000
3102010112102011120011
410001002033131100
532312424111422
61551524124304
7211602134554
oct40102173520
912115364504
104312332112
111913220a40
12a04236694
1353954970a
142cca17864
151a38bd077
hex10108f750

4312332112 has 160 divisors (see below), whose sum is σ = 9989360640. Its totient is φ = 1782144000.

The previous prime is 4312332107. The next prime is 4312332113. The reversal of 4312332112 is 2112332134.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4312332113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9734163 + ... + 9734605.

It is an arithmetic number, because the mean of its divisors is an integer number (62433504).

Almost surely, 24312332112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4312332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4994680320).

4312332112 is an abundant number, since it is smaller than the sum of its proper divisors (5677028528).

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

4312332112 is a wasteful number, since it uses less digits than its factorization.

4312332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 587 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 4312332112 is about 65668.3493929914. The cubic root of 4312332112 is about 1627.6863950908.

Adding to 4312332112 its sum of digits (22), we get a palindrome (4312332134).

Adding to 4312332112 its reverse (2112332134), we get a palindrome (6424664246).

The spelling of 4312332112 in words is "four billion, three hundred twelve million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 38 41 44 71 76 82 88 142 152 164 176 209 284 304 328 418 443 451 568 656 779 781 836 886 902 1136 1349 1558 1562 1672 1772 1804 2698 2911 3116 3124 3344 3544 3608 4873 5396 5822 6232 6248 7088 7216 8417 8569 9746 10792 11644 12464 12496 14839 16834 17138 18163 19492 21584 23288 29678 31453 32021 33668 34276 36326 38984 46576 55309 59356 62906 64042 67336 68552 72652 77968 92587 110618 118712 125812 128084 134672 137104 145304 185174 199793 221236 237424 251624 256168 290608 345097 345983 370348 399586 442472 503248 512336 597607 608399 690194 691966 740696 799172 884944 1195214 1216798 1289573 1380388 1383932 1481392 1598344 2390428 2433596 2579146 2760776 2767864 3196688 3796067 4780856 4867192 5158292 5521552 5535728 6573677 7592134 9561712 9734384 10316584 13147354 14185303 15184268 20633168 24501887 26294708 28370606 30368536 49003774 52589416 56741212 60737072 98007548 105178832 113482424 196015096 226964848 269520757 392030192 539041514 1078083028 2156166056 4312332112