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10031523511120 = 245125394043889
BaseRepresentation
bin1001000111111010010101…
…1001010011101101010000
31022112000010010021112120021
42101332211121103231100
52303324030004323440
633200230203153224
72053516334642446
oct221764531235520
938460103245507
1010031523511120
113218388556551
121160214b15814
13579c79055197
14269757a3ab96
15125e226ac84a
hex91fa5653b50

10031523511120 has 20 divisors (see below), whose sum is σ = 23323292163540. Its totient is φ = 4012609404416.

The previous prime is 10031523511111. The next prime is 10031523511123. The reversal of 10031523511120 is 2111532513001.

10031523511120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5687900644624 + 4343622866496 = 2384932^2 + 2084136^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031523511123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62697021865 + ... + 62697022024.

It is an arithmetic number, because the mean of its divisors is an integer number (1166164608177).

Almost surely, 210031523511120 is an apocalyptic number.

10031523511120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031523511120 is an abundant number, since it is smaller than the sum of its proper divisors (13291768652420).

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

10031523511120 is a wasteful number, since it uses less digits than its factorization.

10031523511120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125394043902 (or 125394043896 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 10031523511120 in words is "ten trillion, thirty-one billion, five hundred twenty-three million, five hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 125394043889 250788087778 501576175556 626970219445 1003152351112 1253940438890 2006304702224 2507880877780 5015761755560 10031523511120