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232210213313 = 13231051738937
BaseRepresentation
bin1101100001000011001…
…1101010100111000001
3211012101010111001112212
43120100303222213001
512301031303311223
6254401554431505
722530246150311
oct3302063524701
9735333431485
10232210213313
118a530680201
1239006892595
1318b885805b0
14b34bca5441
156091136278
hex3610cea9c1

232210213313 has 16 divisors (see below), whose sum is σ = 261193892736. Its totient is φ = 204833059200.

The previous prime is 232210213247. The next prime is 232210213351. The reversal of 232210213313 is 313312012232.

It is a cyclic number.

It is not a de Polignac number, because 232210213313 - 226 = 232143104449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232210213813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55220 + ... + 683717.

It is an arithmetic number, because the mean of its divisors is an integer number (16324618296).

Almost surely, 2232210213313 is an apocalyptic number.

232210213313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

232210213313 is a deficient number, since it is larger than the sum of its proper divisors (28983679423).

232210213313 is a wasteful number, since it uses less digits than its factorization.

232210213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740024.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 232210213313 its reverse (313312012232), we get a palindrome (545522225545).

The spelling of 232210213313 in words is "two hundred thirty-two billion, two hundred ten million, two hundred thirteen thousand, three hundred thirteen".

Divisors: 1 13 23 299 1051 13663 24173 314249 738937 9606181 16995551 220942163 776622787 10096096231 17862324101 232210213313