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12431224100 = 2252294286629
BaseRepresentation
bin10111001001111010…
…10110110100100100
31012002100112121121102
423210331112310210
5200424343132400
65413312135232
7620025442601
oct134475266444
935070477542
1012431224100
1152aa113729
1224ab237518
1312315b9309
1485cdcd6a8
154cb5509d5
hex2e4f56d24

12431224100 has 36 divisors (see below), whose sum is σ = 27905961300. Its totient is φ = 4801023360.

The previous prime is 12431224097. The next prime is 12431224139. The reversal of 12431224100 is 142213421.

It can be written as a sum of positive squares in 6 ways, for example, as 2816637184 + 9614586916 = 53072^2 + 98054^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2140415 + ... + 2146214.

Almost surely, 212431224100 is an apocalyptic number.

12431224100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12431224100 is an abundant number, since it is smaller than the sum of its proper divisors (15474737200).

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

12431224100 is a wasteful number, since it uses less digits than its factorization.

12431224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286672 (or 4286665 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12431224100 its reverse (142213421), we get a palindrome (12573437521).

The spelling of 12431224100 in words is "twelve billion, four hundred thirty-one million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 4286629 8573258 17146516 21433145 42866290 85732580 107165725 124312241 214331450 248624482 428662900 497248964 621561205 1243122410 2486244820 3107806025 6215612050 12431224100