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12133131 = 353137557
BaseRepresentation
bin101110010010…
…001100001011
3211211102112020
4232102030023
511101230011
61112015523
7205062363
oct56221413
924742466
1012133131
11693788a
1240915a3
13268a78a
14187b9a3
1510ea006
hexb9230b

12133131 has 16 divisors (see below), whose sum is σ = 16632864. Its totient is φ = 7864064.

The previous prime is 12133129. The next prime is 12133139. The reversal of 12133131 is 13133121.

It is a cyclic number.

It is not a de Polignac number, because 12133131 - 21 = 12133129 is a prime.

It is a super-2 number, since 2×121331312 = 294425735726322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12133131.

It is not an unprimeable number, because it can be changed into a prime (12133139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21505 + ... + 22061.

It is an arithmetic number, because the mean of its divisors is an integer number (1039554).

Almost surely, 212133131 is an apocalyptic number.

12133131 is a deficient number, since it is larger than the sum of its proper divisors (4499733).

12133131 is a wasteful number, since it uses less digits than its factorization.

12133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750.

The product of its digits is 54, while the sum is 15.

The square root of 12133131 is about 3483.2644171811. The cubic root of 12133131 is about 229.7863864179.

Adding to 12133131 its reverse (13133121), we get a palindrome (25266252).

The spelling of 12133131 in words is "twelve million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 53 137 159 411 557 1671 7261 21783 29521 76309 88563 228927 4044377 12133131