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10014751120 = 2451111380399
BaseRepresentation
bin10010101001110110…
…01111100110010000
3221211221112001212011
421110323033212100
5131002234013440
64333430512304
7503113660063
oct112473174620
927757461764
1010014751120
11427a07a820
121b35b05694
13c37a8374a
146b00c28da
153d93239ea
hex254ecf990

10014751120 has 40 divisors (see below), whose sum is σ = 25401052800. Its totient is φ = 3641727360.

The previous prime is 10014751063. The next prime is 10014751121. The reversal of 10014751120 is 2115741001.

10014751120 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10014751091 and 10014751100.

It is not an unprimeable number, because it can be changed into a prime (10014751121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5689320 + ... + 5691079.

It is an arithmetic number, because the mean of its divisors is an integer number (635026320).

Almost surely, 210014751120 is an apocalyptic number.

10014751120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014751120 is an abundant number, since it is smaller than the sum of its proper divisors (15386301680).

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

10014751120 is a wasteful number, since it uses less digits than its factorization.

10014751120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11380423 (or 11380417 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 22.

The spelling of 10014751120 in words is "ten billion, fourteen million, seven hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 11380399 22760798 45521596 56901995 91043192 113803990 125184389 182086384 227607980 250368778 455215960 500737556 625921945 910431920 1001475112 1251843890 2002950224 2503687780 5007375560 10014751120