Search a number
-
+
12131310420 = 22325411643809
BaseRepresentation
bin10110100110001010…
…10001101101010100
31011022110012102101100
423103011101231110
5144321103413140
65323440030100
7606424302645
oct132305215524
934273172340
1012131310420
115165899089
122426902330
1311b441b8b8
1483123d6cc
154b005c530
hex2d3151b54

12131310420 has 72 divisors (see below), whose sum is σ = 37695850920. Its totient is φ = 3156111360.

The previous prime is 12131310391. The next prime is 12131310487. The reversal of 12131310420 is 2401313121.

12131310420 is a `hidden beast` number, since 1 + 213 + 1 + 31 + 0 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 401120784 + 11730189636 = 20028^2 + 108306^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12131310393 and 12131310402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814525 + ... + 829284.

It is an arithmetic number, because the mean of its divisors is an integer number (523553485).

Almost surely, 212131310420 is an apocalyptic number.

12131310420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131310420 is an abundant number, since it is smaller than the sum of its proper divisors (25564540500).

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

12131310420 is a wasteful number, since it uses less digits than its factorization.

12131310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643865 (or 1643860 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12131310420 its reverse (2401313121), we get a palindrome (14532623541).

The spelling of 12131310420 in words is "twelve billion, one hundred thirty-one million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 1643809 3287618 4931427 6575236 8219045 9862854 14794281 16438090 19725708 24657135 29588562 32876180 49314270 59177124 67396169 73971405 98628540 134792338 147942810 202188507 269584676 295885620 336980845 404377014 606565521 673961690 808754028 1010942535 1213131042 1347923380 2021885070 2426262084 3032827605 4043770140 6065655210 12131310420