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23182131 = 371103911
BaseRepresentation
bin101100001101…
…1101100110011
31121121202220110
41120123230303
521413312011
62144512403
7401021250
oct130335463
947552813
1023182131
11120a4095
12791b703
134a5894b
143116427
15207dba6
hex161bb33

23182131 has 8 divisors (see below), whose sum is σ = 35325184. Its totient is φ = 13246920.

The previous prime is 23182123. The next prime is 23182157. The reversal of 23182131 is 13128132.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 23182131 - 23 = 23182123 is a prime.

It is a super-2 number, since 2×231821312 = 1074822395402322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 1103911 = 23182131 / (2 + 3 + 1 + 8 + 2 + 1 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23182098 and 23182107.

It is not an unprimeable number, because it can be changed into a prime (23182231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551935 + ... + 551976.

It is an arithmetic number, because the mean of its divisors is an integer number (4415648).

Almost surely, 223182131 is an apocalyptic number.

23182131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23182131 is a deficient number, since it is larger than the sum of its proper divisors (12143053).

23182131 is a wasteful number, since it uses less digits than its factorization.

23182131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103921.

The product of its digits is 288, while the sum is 21.

The square root of 23182131 is about 4814.7825496070. The cubic root of 23182131 is about 285.1353865837.

The spelling of 23182131 in words is "twenty-three million, one hundred eighty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 1103911 3311733 7727377 23182131