Search a number
-
+
232030133321031 = 324310910867506171
BaseRepresentation
bin110100110000011110111001…
…101011000111110101000111
31010102112212022221022222110200
4310300132321223013311013
5220403040203112233111
62141253101031221543
766605424002353023
oct6460367153076507
91112485287288420
10232030133321031
1167a28477279291
1222034bb22178b3
139c61469b36866
144142465891383
151bc5982507256
hexd307b9ac7d47

232030133321031 has 48 divisors (see below), whose sum is σ = 346127783464320. Its totient is φ = 149689176275520.

The previous prime is 232030133321023. The next prime is 232030133321039. The reversal of 232030133321031 is 130123331030232.

232030133321031 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 301 + 3 + 3 + 321 + 0 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (232030133321023) and next prime (232030133321039).

It is not a de Polignac number, because 232030133321031 - 23 = 232030133321023 is a prime.

It is a super-2 number, since 2×2320301333210312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232030133320986 and 232030133321004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232030133321039) 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, 458149576 + ... + 458655746.

It is an arithmetic number, because the mean of its divisors is an integer number (7210995488840).

Almost surely, 2232030133321031 is an apocalyptic number.

232030133321031 is a deficient number, since it is larger than the sum of its proper divisors (114097650143289).

232030133321031 is a wasteful number, since it uses less digits than its factorization.

232030133321031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517196 (or 517193 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 232030133321031 its reverse (130123331030232), we get a palindrome (362153464351263).

The spelling of 232030133321031 in words is "two hundred thirty-two trillion, thirty billion, one hundred thirty-three million, three hundred twenty-one thousand, thirty-one".

Divisors: 1 3 9 43 109 129 327 387 981 4687 10867 14061 32601 42183 97803 467281 506171 1184503 1401843 1518513 3553509 4205529 4555539 10660527 21765353 50933629 55172639 65296059 152800887 165517917 195888177 458402661 496553751 2372423477 5500560257 7117270431 16501680771 21351811293 49505042313 236524091051 599561068013 709572273153 1798683204039 2128716819459 5396049612117 25781125924559 77343377773677 232030133321031