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12430535000 = 235413312199
BaseRepresentation
bin10111001001110101…
…01110100101011000
31012002022020121100012
423210322232211120
5200424204110000
65413245301052
7620016542552
oct134472564530
935068217305
1012430535000
1152a9792a24
1224aab64788
131231407770
1485cc904d2
154cb466735
hex2e4eae958

12430535000 has 240 divisors, whose sum is σ = 32572386000. Its totient is φ = 4419360000.

The previous prime is 12430534979. The next prime is 12430535017. The reversal of 12430535000 is 53503421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 62464901 + ... + 62465099.

It is an arithmetic number, because the mean of its divisors is an integer number (135718275).

Almost surely, 212430535000 is an apocalyptic number.

12430535000 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 12430535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286193000).

12430535000 is an abundant number, since it is smaller than the sum of its proper divisors (20141851000).

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

12430535000 is a wasteful number, since it uses less digits than its factorization.

12430535000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The spelling of 12430535000 in words is "twelve billion, four hundred thirty million, five hundred thirty-five thousand".