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232012102130032 = 24773271104712967
BaseRepresentation
bin110100110000001110000110…
…111011100101100101110000
31010102111010210022110120102211
4310300032012323211211300
5220402241241121130112
62141240515512221504
766604215114642040
oct6460160673454560
91112433708416384
10232012102130032
1167a20864122644
12220315bb69a894
139c5c855305183
144141634c65720
151bc527953c0a7
hexd30386ee5970

232012102130032 has 80 divisors (see below), whose sum is σ = 522700329736192. Its totient is φ = 97709762833920.

The previous prime is 232012102129979. The next prime is 232012102130033. The reversal of 232012102130032 is 230031201210232.

It is a super-2 number, since 2×2320121021300322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232012102129985 and 232012102130012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232012102130033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50140788 + ... + 54572179.

Almost surely, 2232012102130032 is an apocalyptic number.

It is an amenable number.

232012102130032 is an abundant number, since it is smaller than the sum of its proper divisors (290688227606160).

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

232012102130032 is a wasteful number, since it uses less digits than its factorization.

232012102130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104713326 (or 104713320 counting only the distinct ones).

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

Adding to 232012102130032 its reverse (230031201210232), we get a palindrome (462043303340264).

The spelling of 232012102130032 in words is "two hundred thirty-two trillion, twelve billion, one hundred two million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 271 292 511 542 584 1022 1084 1168 1897 2044 2168 3794 4088 4336 7588 8176 15176 19783 30352 39566 79132 138481 158264 276962 316528 553924 1107848 2215696 104712967 209425934 418851868 732990769 837703736 1465981538 1675407472 2931963076 5863926152 7644046591 11727852304 15288093182 28377214057 30576186364 53508326137 56754428114 61152372728 107016652274 113508856228 122304745456 198640498399 214033304548 227017712456 397280996798 428066609096 454035424912 794561993596 856133218192 1589123987192 2071536626161 3178247974384 4143073252322 8286146504644 14500756383127 16572293009288 29001512766254 33144586018576 58003025532508 116006051065016 232012102130032