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12131013 = 317317673
BaseRepresentation
bin101110010001…
…101011000101
3211211022121210
4232101223011
511101143023
61112002033
7205053246
oct56215305
924738553
1012131013
116936234
124090319
13268981b
14187accd
1510e9593
hexb91ac5

12131013 has 16 divisors (see below), whose sum is σ = 17680896. Its totient is φ = 7365120.

The previous prime is 12130999. The next prime is 12131017. The reversal of 12131013 is 31013121.

12131013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12131013 - 25 = 12130981 is a prime.

It is a super-2 number, since 2×121310132 = 294322952812338, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12131013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2256 + ... + 5417.

It is an arithmetic number, because the mean of its divisors is an integer number (1105056).

Almost surely, 212131013 is an apocalyptic number.

It is an amenable number.

12131013 is a deficient number, since it is larger than the sum of its proper divisors (5549883).

12131013 is a wasteful number, since it uses less digits than its factorization.

12131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7724.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 12131013 is about 3482.9603787583. The cubic root of 12131013 is about 229.7730148793.

Adding to 12131013 its reverse (31013121), we get a palindrome (43144134).

It can be divided in two parts, 121 and 31013, that multiplied together give a palindrome (3752573).

The spelling of 12131013 in words is "twelve million, one hundred thirty-one thousand, thirteen".

Divisors: 1 3 17 31 51 93 527 1581 7673 23019 130441 237863 391323 713589 4043671 12131013