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132311320124232 = 233533072539133447
BaseRepresentation
bin11110000101011000100001…
…001111000101101101001000
3122100110211122101121001121110
4132011120201033011231020
5114320242040422433412
61145222551545410320
736604114566461634
oct3605304117055510
9570424571531543
10132311320124232
1139181a08952187
1212a0a9a14999a0
1358a9b99c98402
142495c8b391dc4
151046ac395ad3c
hex7856213c5b48

132311320124232 has 128 divisors (see below), whose sum is σ = 338252887526400. Its totient is φ = 43113366436608.

The previous prime is 132311320124219. The next prime is 132311320124329. The reversal of 132311320124232 is 232421023113231.

It is a self number, because there is not a number n which added to its sum of digits gives 132311320124232.

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, 991422933 + ... + 991556379.

It is an arithmetic number, because the mean of its divisors is an integer number (2642600683800).

Almost surely, 2132311320124232 is an apocalyptic number.

132311320124232 is a gapful number since it is divisible by the number (12) 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 132311320124232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169126443763200).

132311320124232 is an abundant number, since it is smaller than the sum of its proper divisors (205941567402168).

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

132311320124232 is a wasteful number, since it uses less digits than its factorization.

132311320124232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136355 (or 136351 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 132311320124232 its reverse (232421023113231), we get a palindrome (364732343237463).

The spelling of 132311320124232 in words is "one hundred thirty-two trillion, three hundred eleven billion, three hundred twenty million, one hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 307 318 424 614 636 921 1228 1272 1842 2456 2539 3684 5078 7368 7617 10156 15234 16271 20312 30468 32542 48813 60936 65084 97626 130168 133447 134567 195252 266894 269134 390504 400341 403701 533788 538268 779473 800682 807402 1067576 1076536 1558946 1601364 1614804 2338419 3117892 3202728 3229608 4676838 6235784 7072691 9353676 14145382 18707352 21218073 28290764 40968229 41312069 42436146 56581528 81936458 82624138 84872292 122904687 123936207 163872916 165248276 169744584 245809374 247872414 327745832 330496552 338821933 491618748 495744828 677643866 983237496 991489656 1016465799 1355287732 2032931598 2171316137 2710575464 4065863196 4342632274 6513948411 8131726392 8685264548 13027896822 17370529096 17957562449 26055793644 35915124898 52111587288 53872687347 71830249796 104018333431 107745374694 143660499592 208036666862 215490749388 312055000293 416073333724 430981498776 624110000586 832146667448 1248220001172 2496440002344 5512971671843 11025943343686 16538915015529 22051886687372 33077830031058 44103773374744 66155660062116 132311320124232