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12343513000 = 23537131779101
BaseRepresentation
bin10110111111011101…
…10000111110101000
31011212020111102121011
423133232300332220
5200234414404000
65400500153304
7614612062240
oct133756607650
934766442534
1012343513000
115264656015
122485998834
131219389160
148514bab20
154c39c72ba
hex2dfbb0fa8

12343513000 has 512 divisors, whose sum is σ = 38494310400. Its totient is φ = 3594240000.

The previous prime is 12343512989. The next prime is 12343513019. The reversal of 12343513000 is 31534321.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122212950 + ... + 122213050.

It is an arithmetic number, because the mean of its divisors is an integer number (75184200).

Almost surely, 212343513000 is an apocalyptic number.

12343513000 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 12343513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247155200).

12343513000 is an abundant number, since it is smaller than the sum of its proper divisors (26150797400).

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

12343513000 is a wasteful number, since it uses less digits than its factorization.

12343513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The spelling of 12343513000 in words is "twelve billion, three hundred forty-three million, five hundred thirteen thousand".