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232120203324032 = 27171929193598707
BaseRepresentation
bin110100110001110010110010…
…010000111010101010000000
31010102212110211001221012122202
4310301302302100322222000
5220411024134022332112
62141402314352052332
766615063011634662
oct6461626220725200
91112773731835582
10232120203324032
1167a626974626a1
122204a54a5340a8
139c69ac22c8b1a
14414696bbb2532
151bc7ea4ab06c2
hexd31cb243aa80

232120203324032 has 128 divisors (see below), whose sum is σ = 533170841832000. Its totient is φ = 99915517771776.

The previous prime is 232120203323977. The next prime is 232120203324043. The reversal of 232120203324032 is 230423302021232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 232120203323986 and 232120203324004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95600378 + ... + 97998329.

Almost surely, 2232120203324032 is an apocalyptic number.

It is an amenable number.

232120203324032 is an abundant number, since it is smaller than the sum of its proper divisors (301050638507968).

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

232120203324032 is a wasteful number, since it uses less digits than its factorization.

232120203324032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193598786 (or 193598774 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 232120203324032 its reverse (230423302021232), we get a palindrome (462543505345264).

The spelling of 232120203324032 in words is "two hundred thirty-two trillion, one hundred twenty billion, two hundred three million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 19 29 32 34 38 58 64 68 76 116 128 136 152 232 272 304 323 464 493 544 551 608 646 928 986 1088 1102 1216 1292 1856 1972 2176 2204 2432 2584 3712 3944 4408 5168 7888 8816 9367 10336 15776 17632 18734 20672 31552 35264 37468 41344 63104 70528 74936 149872 299744 599488 1198976 193598707 387197414 774394828 1548789656 3097579312 3291178019 3678375433 5614362503 6195158624 6582356038 7356750866 11228725006 12390317248 13164712076 14713501732 22457450012 24780634496 26329424152 29427003464 44914900024 52658848304 58854006928 62532382361 89829800048 95444162551 105317696608 106672887557 117708013856 125064764722 179659600096 190888325102 210635393216 213345775114 235416027712 250129529444 359319200192 381776650204 421270786432 426691550228 470832055424 500259058888 718638400384 763553300408 853383100456 1000518117776 1527106600816 1706766200912 1813439088469 2001036235552 3054213201632 3413532401824 3626878176938 4002072471104 6108426403264 6827064803648 7253756353876 8004144942208 12216852806528 13654129607296 14507512707752 29015025415504 58030050831008 116060101662016 232120203324032