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12133131144 = 233505547131
BaseRepresentation
bin10110100110011000…
…01110001110001000
31011022120121220221120
423103030032032020
5144322040144034
65323543035240
7606445625121
oct132314161610
934276556846
1012133131144
115166922012
12242743bb20
1311b4908554
14831595048
154b02bbc49
hex2d330e388

12133131144 has 16 divisors (see below), whose sum is σ = 30332827920. Its totient is φ = 4044377040.

The previous prime is 12133131113. The next prime is 12133131161. The reversal of 12133131144 is 44113133121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 505547131 = 12133131144 / (1 + 2 + 1 + 3 + 3 + 1 + 3 + 1 + 1 + 4 + 4).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252773542 + ... + 252773589.

It is an arithmetic number, because the mean of its divisors is an integer number (1895801745).

Almost surely, 212133131144 is an apocalyptic number.

It is an amenable number.

12133131144 is an abundant number, since it is smaller than the sum of its proper divisors (18199696776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12133131144 is a wasteful number, since it uses less digits than its factorization.

12133131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505547140 (or 505547136 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 12133131144 its reverse (44113133121), we get a palindrome (56246264265).

The spelling of 12133131144 in words is "twelve billion, one hundred thirty-three million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 505547131 1011094262 1516641393 2022188524 3033282786 4044377048 6066565572 12133131144