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232205000530041 = 327111163328803589
BaseRepresentation
bin110100110011000001110000…
…100100100101100001111001
31010110011120200201211121011100
4310303001300210211201321
5220413421320113430131
62141505300554322013
766624154244201640
oct6463016044454171
91113146621747140
10232205000530041
1167a95651255640
1222062a74a29309
139c74ab7267576
14414aad3b00357
151bca2b92c87e6
hexd33070925879

232205000530041 has 48 divisors (see below), whose sum is σ = 418206005642880. Its totient is φ = 120615600821760.

The previous prime is 232205000530033. The next prime is 232205000530043. The reversal of 232205000530041 is 140035000502232.

It is a happy number.

232205000530041 is a `hidden beast` number, since 23 + 2 + 20 + 50 + 0 + 0 + 530 + 0 + 41 = 666.

It is not a de Polignac number, because 232205000530041 - 23 = 232205000530033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232205000529987 and 232205000530014.

It is not an unprimeable number, because it can be changed into a prime (232205000530043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6340126 + ... + 22463463.

It is an arithmetic number, because the mean of its divisors is an integer number (8712625117560).

Almost surely, 2232205000530041 is an apocalyptic number.

232205000530041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

232205000530041 is a deficient number, since it is larger than the sum of its proper divisors (186001005112839).

232205000530041 is a wasteful number, since it uses less digits than its factorization.

232205000530041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28815246 (or 28815243 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 232205000530041 in words is "two hundred thirty-two trillion, two hundred five billion, five hundred thirty thousand, forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 11633 34899 81431 104697 127963 244293 383889 732879 895741 1151667 2687223 8061669 28803589 86410767 201625123 259232301 316839479 604875369 950518437 1814626107 2217876353 2851555311 6653629059 19960887177 335072150837 1005216452511 2345505055859 3015649357533 3685793659207 7036515167577 11057380977621 21109545502731 25800555614449 33172142932863 77401666843347 232205000530041