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12131307 = 324193217
BaseRepresentation
bin101110010001…
…101111101011
3211211100000200
4232101233223
511101200212
61112003243
7205054146
oct56215753
924740020
1012131307
116936481
124090523
1326899b6
14187b05d
1510e96dc
hexb91beb

12131307 has 12 divisors (see below), whose sum is σ = 17570280. Its totient is φ = 8065728.

The previous prime is 12131303. The next prime is 12131321. The reversal of 12131307 is 70313121.

It is not a de Polignac number, because 12131307 - 22 = 12131303 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12131307.

It is not an unprimeable number, because it can be changed into a prime (12131303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2163 + ... + 5379.

It is an arithmetic number, because the mean of its divisors is an integer number (1464190).

Almost surely, 212131307 is an apocalyptic number.

12131307 is a deficient number, since it is larger than the sum of its proper divisors (5438973).

12131307 is a wasteful number, since it uses less digits than its factorization.

12131307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 12131307 is about 3483.0025839784. The cubic root of 12131307 is about 229.7748710783.

Subtracting from 12131307 its sum of digits (18), we obtain a square (12131289 = 34832).

Adding to 12131307 its reverse (70313121), we get a palindrome (82444428).

The spelling of 12131307 in words is "twelve million, one hundred thirty-one thousand, three hundred seven".

Divisors: 1 3 9 419 1257 3217 3771 9651 28953 1347923 4043769 12131307