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232133130033 = 37213711526547
BaseRepresentation
bin1101100000110000110…
…1100111011100110001
3211012011202102211011120
43120030031213130301
512300402040130113
6254350202332453
722525322022600
oct3301415473461
9735152384146
10232133130033
118a4a1111412
1238ba4aba129
1318b7560199c
14b34195ba37
1560894aba23
hex360c367731

232133130033 has 24 divisors (see below), whose sum is σ = 362671306272. Its totient is φ = 131679261504.

The previous prime is 232133130013. The next prime is 232133130037. The reversal of 232133130033 is 330031331232.

232133130033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232133130033 - 25 = 232133130001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232133129985 and 232133130012.

It is not an unprimeable number, because it can be changed into a prime (232133130037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5743135 + ... + 5783412.

It is an arithmetic number, because the mean of its divisors is an integer number (15111304428).

Almost surely, 2232133130033 is an apocalyptic number.

It is an amenable number.

232133130033 is a deficient number, since it is larger than the sum of its proper divisors (130538176239).

232133130033 is a wasteful number, since it uses less digits than its factorization.

232133130033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11526701 (or 11526694 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 232133130033 its reverse (330031331232), we get a palindrome (562164461265).

The spelling of 232133130033 in words is "two hundred thirty-two billion, one hundred thirty-three million, one hundred thirty thousand, thirty-three".

Divisors: 1 3 7 21 49 137 147 411 959 2877 6713 20139 11526547 34579641 80685829 242057487 564800803 1579136939 1694402409 4737410817 11053958573 33161875719 77377710011 232133130033