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232013121132 = 2231319373310513
BaseRepresentation
bin1101100000010100001…
…1110100011001101100
3211011212101121201220110
43120011003310121230
512300130324334012
6254330234220020
722522333663452
oct3300503643154
9734771551813
10232013121132
118a43a3a3a01
1238b70884610
1318b567a39c0
14b32da3c9d2
15607dba373c
hex36050f466c

232013121132 has 96 divisors (see below), whose sum is σ = 586883405248. Its totient is φ = 70915129344.

The previous prime is 232013121113. The next prime is 232013121143. The reversal of 232013121132 is 231121310232.

It is a super-2 number, since 2×2320131211322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232013121099 and 232013121108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22063908 + ... + 22074420.

Almost surely, 2232013121132 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 232013121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293441702624).

232013121132 is an abundant number, since it is smaller than the sum of its proper divisors (354870284116).

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

232013121132 is a wasteful number, since it uses less digits than its factorization.

232013121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11459 (or 11457 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 232013121132 its reverse (231121310232), we get a palindrome (463134431364).

The spelling of 232013121132 in words is "two hundred thirty-two billion, thirteen million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 193 386 579 733 772 1158 1466 2199 2316 2509 2932 4398 5018 7527 8796 9529 10036 10513 15054 19058 21026 28587 30108 31539 38116 42052 57174 63078 114348 126156 136669 141469 273338 282938 410007 424407 546676 565876 820014 848814 1640028 1697628 1839097 2029009 3678194 4058018 5517291 6087027 7356388 7706029 8116036 11034582 12174054 15412058 22069164 23118087 24348108 26377117 30824116 46236174 52754234 79131351 92472348 100178377 105508468 158262702 200356754 300535131 316525404 400713508 601070262 1202140524 1487263597 2974527194 4461790791 5949054388 8923581582 17847163164 19334426761 38668853522 58003280283 77337707044 116006560566 232013121132