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12355131 = 32925983
BaseRepresentation
bin101111001000…
…011000111011
3212020201001110
4233020120323
511130331011
61120451403
7210005535
oct57103073
925221043
1012355131
116a79658
124179b63
132737839
1418d8855
151140ba6
hexbc863b

12355131 has 24 divisors (see below), whose sum is σ = 17559360. Its totient is φ = 7723744.

The previous prime is 12355129. The next prime is 12355139. The reversal of 12355131 is 13155321.

It is not a de Polignac number, because 12355131 - 21 = 12355129 is a prime.

It is a super-2 number, since 2×123551312 = 305298524054322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12355098 and 12355107.

It is not an unprimeable number, because it can be changed into a prime (12355139) 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 23 ways as a sum of consecutive naturals, for example, 148816 + ... + 148898.

It is an arithmetic number, because the mean of its divisors is an integer number (731640).

Almost surely, 212355131 is an apocalyptic number.

12355131 is a deficient number, since it is larger than the sum of its proper divisors (5204229).

12355131 is an equidigital number, since it uses as much as digits as its factorization.

12355131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 174 counting only the distinct ones).

The product of its digits is 450, while the sum is 21.

The square root of 12355131 is about 3514.9866287086. The cubic root of 12355131 is about 231.1793925172.

The spelling of 12355131 in words is "twelve million, three hundred fifty-five thousand, one hundred thirty-one".

Divisors: 1 3 29 59 83 87 177 249 841 1711 2407 2523 4897 5133 7221 14691 49619 69803 142013 148857 209409 426039 4118377 12355131