Search a number
-
+
232322033113101 = 3280989633559967
BaseRepresentation
bin110100110100101110110000…
…010000011101100000001101
31010110120202202221021210212200
4310310232300100131200031
5220422331010434104401
62142035134004552113
766635466361556001
oct6464566020354015
91113522687253780
10232322033113101
1168030248084468
12220816969b2639
139c82b48738009
144152636cc2701
151bcd3689c4686
hexd34bb041d80d

232322033113101 has 24 divisors (see below), whose sum is σ = 336028654690560. Its totient is φ = 154672605335616.

The previous prime is 232322033113061. The next prime is 232322033113187. The reversal of 232322033113101 is 101311330223232.

232322033113101 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 220 + 331 + 1 + 3 + 101 = 666.

It is a de Polignac number, because none of the positive numbers 2k-232322033113101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232322033113201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63479620 + ... + 67039586.

It is an arithmetic number, because the mean of its divisors is an integer number (14001193945440).

Almost surely, 2232322033113101 is an apocalyptic number.

It is an amenable number.

232322033113101 is a deficient number, since it is larger than the sum of its proper divisors (103706621577459).

232322033113101 is a wasteful number, since it uses less digits than its factorization.

232322033113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569745 (or 3569742 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 232322033113101 its reverse (101311330223232), we get a palindrome (333633363336333).

The spelling of 232322033113101 in words is "two hundred thirty-two trillion, three hundred twenty-two billion, thirty-three million, one hundred thirteen thousand, one hundred one".

Divisors: 1 3 9 809 2427 7281 8963 26889 80667 3559967 7251067 10679901 21753201 32039703 65259603 2880013303 8640039909 25920119727 31907984221 95723952663 287171857989 25813559234789 77440677704367 232322033113101