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8103000825 = 325236013337
BaseRepresentation
bin1111000101111100…
…11111101011111001
3202220201020002110200
413202332133223321
5113043332011300
63420015232413
7404541241053
oct74276375371
922821202420
108103000825
113488a294a7
1216a1818709
139c199775a
1456c23a8d3
15326594200
hex1e2f9faf9

8103000825 has 18 divisors (see below), whose sum is σ = 14513375214. Its totient is φ = 4321600320.

The previous prime is 8103000793. The next prime is 8103000839. The reversal of 8103000825 is 5280003018.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1463521536 + 6639479289 = 38256^2 + 81483^2 .

It is not a de Polignac number, because 8103000825 - 25 = 8103000793 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18006444 + ... + 18006893.

It is an arithmetic number, because the mean of its divisors is an integer number (806298623).

Almost surely, 28103000825 is an apocalyptic number.

It is an amenable number.

8103000825 is a deficient number, since it is larger than the sum of its proper divisors (6410374389).

8103000825 is a wasteful number, since it uses less digits than its factorization.

8103000825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36013353 (or 36013345 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8103000825 is about 90016.6697062272. The cubic root of 8103000825 is about 2008.5468259390.

The spelling of 8103000825 in words is "eight billion, one hundred three million, eight hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 25 45 75 225 36013337 108040011 180066685 324120033 540200055 900333425 1620600165 2701000275 8103000825