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10012943304 = 233771319331
BaseRepresentation
bin10010101001101000…
…10110001111001000
3221211211010020000000
421110310112033020
5131001303141204
64333324043000
7503062420350
oct112464261710
927754106000
1010012943304
114279055561
121b35393460
13c3759c930
146adb71b60
153d90b8039
hex254d163c8

10012943304 has 512 divisors, whose sum is σ = 36589056000. Its totient is φ = 2494229760.

The previous prime is 10012943279. The next prime is 10012943357. The reversal of 10012943304 is 40334921001.

10012943304 is a `hidden beast` number, since 100 + 129 + 433 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 30250419 + ... + 30250749.

It is an arithmetic number, because the mean of its divisors is an integer number (71463000).

Almost surely, 210012943304 is an apocalyptic number.

10012943304 is a gapful number since it is divisible by the number (14) 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 10012943304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18294528000).

10012943304 is an abundant number, since it is smaller than the sum of its proper divisors (26576112696).

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

10012943304 is a wasteful number, since it uses less digits than its factorization.

10012943304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10012943304 in words is "ten billion, twelve million, nine hundred forty-three thousand, three hundred four".