Search a number
-
+
12136360131 = 327253519247
BaseRepresentation
bin10110100110110001…
…00010100011000011
31011022210200222021200
423103120202203003
5144323402011011
65324140152243
7606515234100
oct132330424303
934283628250
1012136360131
115168727aa5
122428538683
1311b54991ac
14831b95aa7
154b0708856
hex2d36228c3

12136360131 has 36 divisors (see below), whose sum is σ = 20777189472. Its totient is φ = 6804199584.

The previous prime is 12136360127. The next prime is 12136360139. The reversal of 12136360131 is 13106363121.

12136360131 is a `hidden beast` number, since 1 + 2 + 13 + 636 + 0 + 13 + 1 = 666.

It is not a de Polignac number, because 12136360131 - 22 = 12136360127 is a prime.

It is a super-2 number, since 2×121363601312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12136360095 and 12136360104.

It is not an unprimeable number, because it can be changed into a prime (12136360139) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 236251 + ... + 282996.

It is an arithmetic number, because the mean of its divisors is an integer number (577144152).

Almost surely, 212136360131 is an apocalyptic number.

12136360131 is a deficient number, since it is larger than the sum of its proper divisors (8640829341).

12136360131 is a wasteful number, since it uses less digits than its factorization.

12136360131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519320 (or 519310 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 12136360131 in words is "twelve billion, one hundred thirty-six million, three hundred sixty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 49 53 63 147 159 371 441 477 1113 2597 3339 7791 23373 519247 1557741 3634729 4673223 10904187 25443103 27520091 32712561 76329309 82560273 192640637 228987927 247680819 577921911 1348484459 1733765733 4045453377 12136360131