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232002010013 = 47157173181739
BaseRepresentation
bin1101100000010001100…
…1011011101110011101
3211011211121201020022112
43120010121123232131
512300120003310023
6254325200123405
722522140355514
oct3300431335635
9734747636275
10232002010013
118a4340a4a64
1238b69006565
1318b543b3487
14b32c38967b
15607cc0b478
hex360465bb9d

232002010013 has 16 divisors (see below), whose sum is σ = 239827011840. Its totient is φ = 224314124736.

The previous prime is 232002010007. The next prime is 232002010057. The reversal of 232002010013 is 310010200232.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 232002010013 - 234 = 214822140829 is a prime.

It is a super-4 number, since 4×2320020100134 (a number of 47 digits) contains 4444 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 232002010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232002010613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1185698 + ... + 1367436.

It is an arithmetic number, because the mean of its divisors is an integer number (14989188240).

Almost surely, 2232002010013 is an apocalyptic number.

It is an amenable number.

232002010013 is a deficient number, since it is larger than the sum of its proper divisors (7825001827).

232002010013 is a wasteful number, since it uses less digits than its factorization.

232002010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182116.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 232002010013 its reverse (310010200232), we get a palindrome (542012210245).

The spelling of 232002010013 in words is "two hundred thirty-two billion, two million, ten thousand, thirteen".

Divisors: 1 47 157 173 7379 8131 27161 181739 1276567 8541733 28533023 31440847 1341052081 1477719809 4936212979 232002010013