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12182331 = 37311839
BaseRepresentation
bin101110011110…
…001100111011
3211220221000110
4232132030323
511104313311
61113035403
7205356000
oct56361473
924827013
1012182331
116970847
1240b5b63
1326a6ca5
1418918a7
1511098a6
hexb9e33b

12182331 has 16 divisors (see below), whose sum is σ = 18944000. Its totient is φ = 6960744.

The previous prime is 12182329. The next prime is 12182333. The reversal of 12182331 is 13328121.

12182331 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12182329) and next prime (12182333).

It is not a de Polignac number, because 12182331 - 21 = 12182329 is a prime.

It is a super-2 number, since 2×121823312 = 296818377187122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12182298 and 12182307.

It is not an unprimeable number, because it can be changed into a prime (12182333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4891 + ... + 6948.

It is an arithmetic number, because the mean of its divisors is an integer number (1184000).

Almost surely, 212182331 is an apocalyptic number.

12182331 is a deficient number, since it is larger than the sum of its proper divisors (6761669).

12182331 is an equidigital number, since it uses as much as digits as its factorization.

12182331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11863 (or 11849 counting only the distinct ones).

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

The square root of 12182331 is about 3490.3196128722. The cubic root of 12182331 is about 230.0965631080.

The spelling of 12182331 in words is "twelve million, one hundred eighty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 21 49 147 343 1029 11839 35517 82873 248619 580111 1740333 4060777 12182331