Search a number
-
+
132300012404112 = 24374110195085737
BaseRepresentation
bin11110000101001101111111…
…001111100011110110010000
3122100102202110100010100201120
4132011031333033203312100
5114320100411133412422
61145213441530002240
736603234432443610
oct3605157717436620
9570382410110646
10132300012404112
1139178135a47743
1212a08766576380
1358a8ab739c067
1424954d769ca40
151046660d8545c
hex78537f3e3d90

132300012404112 has 160 divisors (see below), whose sum is σ = 404088523179264. Its totient is φ = 36512922624000.

The previous prime is 132300012404107. The next prime is 132300012404269. The reversal of 132300012404112 is 211404210003231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 46151493 + ... + 48934244.

Almost surely, 2132300012404112 is an apocalyptic number.

132300012404112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132300012404112 is an abundant number, since it is smaller than the sum of its proper divisors (271788510775152).

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

132300012404112 is a wasteful number, since it uses less digits than its factorization.

132300012404112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95085897 (or 95085891 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132300012404112 its reverse (211404210003231), we get a palindrome (343704222407343).

The spelling of 132300012404112 in words is "one hundred thirty-two trillion, three hundred billion, twelve million, four hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 101 112 123 164 168 202 246 287 303 328 336 404 492 574 606 656 707 808 861 984 1148 1212 1414 1616 1722 1968 2121 2296 2424 2828 3444 4141 4242 4592 4848 5656 6888 8282 8484 11312 12423 13776 16564 16968 24846 28987 33128 33936 49692 57974 66256 86961 99384 115948 173922 198768 231896 347844 463792 695688 1391376 95085737 190171474 285257211 380342948 570514422 665600159 760685896 1141028844 1331200318 1521371792 1996800477 2282057688 2662400636 3898515217 3993600954 4564115376 5324801272 7797030434 7987201908 9603659437 10649602544 11695545651 15594060868 15974403816 19207318874 23391091302 27289606519 28810978311 31188121736 31948807632 38414637748 46782182604 54579213038 57621956622 62376243472 67225616059 76829275496 81868819557 93564365208 109158426076 115243913244 134451232118 153658550992 163737639114 187128730416 201676848177 218316852152 230487826488 268902464236 327475278228 393750036917 403353696354 436633704304 460975652976 537804928472 654950556456 787500073834 806707392708 1075609856944 1181250110751 1309901112912 1575000147668 1613414785416 2362500221502 2756250258419 3150000295336 3226829570832 4725000443004 5512500516838 6300000590672 8268750775257 9450000886008 11025001033676 16537501550514 18900001772016 22050002067352 33075003101028 44100004134704 66150006202056 132300012404112