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231305313 = 34183139163
BaseRepresentation
bin11011100100101…
…11000001100001
3121010020112020110
431302113001201
5433203232223
634541401533
75506030341
oct1562270141
9533215213
10231305313
11109625118
12655692a9
1338bc8465
1422a10d21
151548ed93
hexdc97061

231305313 has 32 divisors (see below), whose sum is σ = 324011520. Its totient is φ = 146655360.

The previous prime is 231305309. The next prime is 231305323. The reversal of 231305313 is 313503132.

It is not a de Polignac number, because 231305313 - 22 = 231305309 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 231305313.

It is not an unprimeable number, because it can be changed into a prime (231305323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1418970 + ... + 1419132.

It is an arithmetic number, because the mean of its divisors is an integer number (10125360).

Almost surely, 2231305313 is an apocalyptic number.

It is an amenable number.

231305313 is a deficient number, since it is larger than the sum of its proper divisors (92706207).

231305313 is a wasteful number, since it uses less digits than its factorization.

231305313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 231305313 is about 15208.7248972424. The cubic root of 231305313 is about 613.8494477861.

Adding to 231305313 its reverse (313503132), we get a palindrome (544808445).

The spelling of 231305313 in words is "two hundred thirty-one million, three hundred five thousand, three hundred thirteen".

Divisors: 1 3 41 83 123 139 163 249 417 489 3403 5699 6683 10209 11537 13529 17097 20049 22657 34611 40587 67971 473017 554689 928937 1419051 1664067 1880531 2786811 5641593 77101771 231305313