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230451206611131 = 321122710254581347
BaseRepresentation
bin110100011001100000011010…
…010011101110000010111011
31010012221220211211011112222100
4310121200122103232002323
5220201203032343024011
62134043453420154443
766353356505642352
oct6431403223560273
91105856754145870
10230451206611131
1167479898310630
1221a1aba2998a23
139b785bca7685c
1440c9c7dc34999
151b99870eead56
hexd1981a4ee0bb

230451206611131 has 24 divisors (see below), whose sum is σ = 364734949385664. Its totient is φ = 139052123051760.

The previous prime is 230451206611127. The next prime is 230451206611169. The reversal of 230451206611131 is 131116602154032.

230451206611131 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 5 + 1 + 2 + 0 + 6 + 611 + 1 + 31 = 666.

It is not a de Polignac number, because 230451206611131 - 22 = 230451206611127 is a prime.

It is a super-2 number, since 2×2304512066111312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230451206611931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5127268201 + ... + 5127313146.

It is an arithmetic number, because the mean of its divisors is an integer number (15197289557736).

Almost surely, 2230451206611131 is an apocalyptic number.

230451206611131 is a deficient number, since it is larger than the sum of its proper divisors (134283742774533).

230451206611131 is a wasteful number, since it uses less digits than its factorization.

230451206611131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10254581591 (or 10254581588 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 230451206611131 its reverse (131116602154032), we get a palindrome (361567808765163).

The spelling of 230451206611131 in words is "two hundred thirty trillion, four hundred fifty-one billion, two hundred six million, six hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 227 681 2043 2497 7491 22473 10254581347 30763744041 92291232123 112800394817 338401184451 1015203553353 2327789965769 6983369897307 20950109691921 25605689623459 76817068870377 230451206611131