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10012310320 = 2452329187637
BaseRepresentation
bin10010101001100011…
…11011101100110000
3221211202221001201011
421110301323230300
5131001122412240
64333302320304
7503054143045
oct112461735460
927752831634
1010012310320
114278762a31
121b35129094
13c3740a79c
146ada491cc
153d8ee06ea
hex254c7bb30

10012310320 has 80 divisors (see below), whose sum is σ = 25128480960. Its totient is φ = 3698680832.

The previous prime is 10012310311. The next prime is 10012310339. The reversal of 10012310320 is 2301321001.

10012310320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10012310320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40459 + ... + 147178.

It is an arithmetic number, because the mean of its divisors is an integer number (314106012).

Almost surely, 210012310320 is an apocalyptic number.

10012310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012310320 is an abundant number, since it is smaller than the sum of its proper divisors (15116170640).

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

10012310320 is a wasteful number, since it uses less digits than its factorization.

10012310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187702 (or 187696 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10012310320 its reverse (2301321001), we get a palindrome (12313631321).

The spelling of 10012310320 in words is "ten billion, twelve million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 29 40 46 58 80 92 115 116 145 184 230 232 290 368 460 464 580 667 920 1160 1334 1840 2320 2668 3335 5336 6670 10672 13340 26680 53360 187637 375274 750548 938185 1501096 1876370 3002192 3752740 4315651 5441473 7505480 8631302 10882946 15010960 17262604 21578255 21765892 27207365 34525208 43156510 43531784 54414730 69050416 86313020 87063568 108829460 125153879 172626040 217658920 250307758 345252080 435317840 500615516 625769395 1001231032 1251538790 2002462064 2503077580 5006155160 10012310320