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10115524225 = 52735542753
BaseRepresentation
bin10010110101110111…
…01010011010000001
3222002222010212120101
421122323222122001
5131204033233400
64351430442401
7505446352162
oct113273523201
928088125511
1010115524225
114320a4a084
121b63803401
13c529080c1
146bd635769
153e30cc56a
hex25aeea681

10115524225 has 12 divisors (see below), whose sum is σ = 12715077676. Its totient is φ = 7981562880.

The previous prime is 10115524183. The next prime is 10115524231. The reversal of 10115524225 is 52242551101.

10115524225 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 6 ways, for example, as 49014001 + 10066510224 = 7001^2 + 100332^2 .

It is not a de Polignac number, because 10115524225 - 217 = 10115393153 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10115524193 and 10115524202.

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 11 ways as a sum of consecutive naturals, for example, 2769552 + ... + 2773201.

Almost surely, 210115524225 is an apocalyptic number.

It is an amenable number.

10115524225 is a deficient number, since it is larger than the sum of its proper divisors (2599553451).

10115524225 is an equidigital number, since it uses as much as digits as its factorization.

10115524225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542836 (or 5542831 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The spelling of 10115524225 in words is "ten billion, one hundred fifteen million, five hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 73 365 1825 5542753 27713765 138568825 404620969 2023104845 10115524225