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12231731232 = 253276192
BaseRepresentation
bin10110110010001000…
…10110100000100000
31011120110011022211200
423121010112200200
5200022310344412
65341424241200
7612054000000
oct133104264040
934513138750
1012231731232
115207547796
122454470200
1311cc17bab6
14840700000
154b8c969dc
hex2d9116820

12231731232 has 378 divisors, whose sum is σ = 42829537023. Its totient is φ = 3310844544.

The previous prime is 12231731219. The next prime is 12231731233. The reversal of 12231731232 is 23213713221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12231731232 is a `hidden beast` number, since 1 + 2 + 2 + 317 + 312 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6115865616 + 6115865616 = 78204^2 + 78204^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78204.

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

It is a junction number, because it is equal to n+sod(n) for n = 12231731196 and 12231731205.

It is not an unprimeable number, because it can be changed into a prime (12231731233) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 643775319 + ... + 643775337.

Almost surely, 212231731232 is an apocalyptic number.

12231731232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12231731232

12231731232 is an abundant number, since it is smaller than the sum of its proper divisors (30597805791).

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

12231731232 is an frugal number, since it uses more digits than its factorization.

12231731232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 31 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The spelling of 12231731232 in words is "twelve billion, two hundred thirty-one million, seven hundred thirty-one thousand, two hundred thirty-two".