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23182101 = 3217151517
BaseRepresentation
bin101100001101…
…1101100010101
31121121202212100
41120123230111
521413311401
62144512313
7401021205
oct130335425
947552770
1023182101
11120a4068
12791b699
134a58927
143116405
15207db86
hex161bb15

23182101 has 12 divisors (see below), whose sum is σ = 35455212. Its totient is φ = 14545536.

The previous prime is 23182087. The next prime is 23182123. The reversal of 23182101 is 10128132.

It can be written as a sum of positive squares in 2 ways, for example, as 21399876 + 1782225 = 4626^2 + 1335^2 .

It is not a de Polignac number, because 23182101 - 25 = 23182069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23182301) 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 11 ways as a sum of consecutive naturals, for example, 75606 + ... + 75911.

It is an arithmetic number, because the mean of its divisors is an integer number (2954601).

Almost surely, 223182101 is an apocalyptic number.

It is an amenable number.

23182101 is a deficient number, since it is larger than the sum of its proper divisors (12273111).

23182101 is a wasteful number, since it uses less digits than its factorization.

23182101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151540 (or 151537 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 23182101 is about 4814.7794342005. The cubic root of 23182101 is about 285.1352635857.

The spelling of 23182101 in words is "twenty-three million, one hundred eighty-two thousand, one hundred one".

Divisors: 1 3 9 17 51 153 151517 454551 1363653 2575789 7727367 23182101