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232100113 = 724736737
BaseRepresentation
bin11011101010110…
…01000100010001
3121011201220111111
431311121010101
5433404200423
635010413321
75515550500
oct1565310421
9534656444
10232100113
1110a018283
1265891241
133911615b
1422b7a837
151559a60d
hexdd59111

232100113 has 6 divisors (see below), whose sum is σ = 269994066. Its totient is φ = 198942912.

The previous prime is 232100083. The next prime is 232100117. The reversal of 232100113 is 311001232.

It can be written as a sum of positive squares in only one way, i.e., 196196049 + 35904064 = 14007^2 + 5992^2 .

It is not a de Polignac number, because 232100113 - 213 = 232091921 is a prime.

It is a super-2 number, since 2×2321001132 = 107740924909225538, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232100093 and 232100102.

It is not an unprimeable number, because it can be changed into a prime (232100117) 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 5 ways as a sum of consecutive naturals, for example, 2368320 + ... + 2368417.

It is an arithmetic number, because the mean of its divisors is an integer number (44999011).

Almost surely, 2232100113 is an apocalyptic number.

It is an amenable number.

232100113 is a deficient number, since it is larger than the sum of its proper divisors (37893953).

232100113 is an equidigital number, since it uses as much as digits as its factorization.

232100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736751 (or 4736744 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 232100113 is about 15234.8322274976. The cubic root of 232100113 is about 614.5517371552.

Adding to 232100113 its reverse (311001232), we get a palindrome (543101345).

The spelling of 232100113 in words is "two hundred thirty-two million, one hundred thousand, one hundred thirteen".

Divisors: 1 7 49 4736737 33157159 232100113