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12430559700 = 22345213971217
BaseRepresentation
bin10111001001110101…
…10100100111010100
31012002022021212020000
423210322310213110
5200424210402300
65413250011300
7620020004556
oct134472644724
935068255200
1012430559700
1152a97aa539
1224aab76b30
131231415a90
1485cc994d6
154cb46dc00
hex2e4eb49d4

12430559700 has 360 divisors, whose sum is σ = 43877967672. Its totient is φ = 3025797120.

The previous prime is 12430559699. The next prime is 12430559711. The reversal of 12430559700 is 795503421.

12430559700 is a `hidden beast` number, since 1 + 2 + 4 + 30 + 559 + 70 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6882693444 + 5547866256 = 82962^2 + 74484^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10213492 + ... + 10214708.

Almost surely, 212430559700 is an apocalyptic number.

12430559700 is a gapful number since it is divisible by the number (10) 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 12430559700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21938983836).

12430559700 is an abundant number, since it is smaller than the sum of its proper divisors (31447407972).

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

12430559700 is a wasteful number, since it uses less digits than its factorization.

12430559700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 12430559700 in words is "twelve billion, four hundred thirty million, five hundred fifty-nine thousand, seven hundred".