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12286131 = 3111322203
BaseRepresentation
bin101110110111…
…100010110011
3212010012101220
4232313202303
511121124011
61115200123
7206300424
oct56674263
925105356
1012286131
116a31830
124146043
132712300
1418bb64b
15112a506
hexbb78b3

12286131 has 24 divisors (see below), whose sum is σ = 19359936. Its totient is φ = 6870240.

The previous prime is 12286123. The next prime is 12286133. The reversal of 12286131 is 13168221.

12286131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12286131 - 23 = 12286123 is a prime.

It is a super-2 number, since 2×122861312 = 301898029898322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12286133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4476 + ... + 6678.

It is an arithmetic number, because the mean of its divisors is an integer number (806664).

Almost surely, 212286131 is an apocalyptic number.

12286131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12286131 is a deficient number, since it is larger than the sum of its proper divisors (7073805).

12286131 is a wasteful number, since it uses less digits than its factorization.

12286131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2230 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 12286131 is about 3505.1577710568. The cubic root of 12286131 is about 230.7482311575.

The spelling of 12286131 in words is "twelve million, two hundred eighty-six thousand, one hundred thirty-one".

Divisors: 1 3 11 13 33 39 143 169 429 507 1859 2203 5577 6609 24233 28639 72699 85917 315029 372307 945087 1116921 4095377 12286131