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12131367 = 3192941179
BaseRepresentation
bin101110010001…
…110000100111
3211211100002220
4232101300213
511101200432
61112003423
7205054263
oct56216047
924740086
1012131367
116936526
124090573
132689a31
14187b0a3
1510e972c
hexb91c27

12131367 has 32 divisors (see below), whose sum is σ = 18144000. Its totient is φ = 7176960.

The previous prime is 12131347. The next prime is 12131369. The reversal of 12131367 is 76313121.

12131367 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12131367 - 26 = 12131303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67684 + ... + 67862.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 212131367 is an apocalyptic number.

12131367 is a deficient number, since it is larger than the sum of its proper divisors (6012633).

12131367 is a wasteful number, since it uses less digits than its factorization.

12131367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271.

The product of its digits is 756, while the sum is 24.

The square root of 12131367 is about 3483.0111972258. The cubic root of 12131367 is about 229.7752498907.

Adding to 12131367 its reverse (76313121), we get a palindrome (88444488).

The spelling of 12131367 in words is "twelve million, one hundred thirty-one thousand, three hundred sixty-seven".

Divisors: 1 3 19 29 41 57 87 123 179 537 551 779 1189 1653 2337 3401 3567 5191 7339 10203 15573 22017 22591 67773 98629 139441 212831 295887 418323 638493 4043789 12131367