Search a number
-
+
232301121023133 = 338603745223079
BaseRepresentation
bin110100110100011011010001…
…110011001010110010011101
31010110111202210112111120102000
4310310123101303022302131
5220422010143440220013
62142021354534152513
766634126223000451
oct6464332163126235
91113452715446360
10232301121023133
1168022396815788
122207961b4b2739
139c80b950c2a96
144151611814661
151bcca42b3e973
hexd346d1ccac9d

232301121023133 has 8 divisors (see below), whose sum is σ = 344149808923200. Its totient is φ = 154867414015404.

The previous prime is 232301121023117. The next prime is 232301121023141. The reversal of 232301121023133 is 331320121103232.

232301121023133 is a `hidden beast` number, since 2 + 3 + 2 + 301 + 121 + 0 + 231 + 3 + 3 = 666.

It is not a de Polignac number, because 232301121023133 - 24 = 232301121023117 is a prime.

It is a super-2 number, since 2×2323011210231332 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 8603745223079 = 232301121023133 / (2 + 3 + 2 + 3 + 0 + 1 + 1 + 2 + 1 + 0 + 2 + 3 + 1 + 3 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 232301121023097 and 232301121023106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232301121023333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4301872611513 + ... + 4301872611566.

It is an arithmetic number, because the mean of its divisors is an integer number (43018726115400).

Almost surely, 2232301121023133 is an apocalyptic number.

It is an amenable number.

232301121023133 is a deficient number, since it is larger than the sum of its proper divisors (111848687900067).

232301121023133 is an equidigital number, since it uses as much as digits as its factorization.

232301121023133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8603745223088 (or 8603745223082 counting only the distinct ones).

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

Adding to 232301121023133 its reverse (331320121103232), we get a palindrome (563621242126365).

The spelling of 232301121023133 in words is "two hundred thirty-two trillion, three hundred one billion, one hundred twenty-one million, twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 27 8603745223079 25811235669237 77433707007711 232301121023133