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232113013 = 11294117747
BaseRepresentation
bin11011101010111…
…00001101110101
3121011202120012021
431311130031311
5433410104023
635010553141
75515633216
oct1565341565
9534676167
10232113013
1110a026a40
12658987b1
133911bca2
1422b8140d
151559e35d
hexdd5c375

232113013 has 16 divisors (see below), whose sum is σ = 268349760. Its totient is φ = 198755200.

The previous prime is 232113001. The next prime is 232113029. The reversal of 232113013 is 310311232.

It is a cyclic number.

It is not a de Polignac number, because 232113013 - 221 = 230015861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232113073) 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, 4206 + ... + 21952.

It is an arithmetic number, because the mean of its divisors is an integer number (16771860).

Almost surely, 2232113013 is an apocalyptic number.

It is an amenable number.

232113013 is a deficient number, since it is larger than the sum of its proper divisors (36236747).

232113013 is a wasteful number, since it uses less digits than its factorization.

232113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17828.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 232113013 is about 15235.2555935239. The cubic root of 232113013 is about 614.5631224297.

Adding to 232113013 its reverse (310311232), we get a palindrome (542424245).

The spelling of 232113013 in words is "two hundred thirty-two million, one hundred thirteen thousand, thirteen".

Divisors: 1 11 29 41 319 451 1189 13079 17747 195217 514663 727627 5661293 8003897 21101183 232113013