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10430111825 = 52728514377
BaseRepresentation
bin10011011011010111…
…01110000001010001
3222220220002120121222
421231223232001101
5132330102034300
64442545254425
7516316326200
oct115553560121
928826076558
1010430111825
114472587431
122031034415
13ca2b42903
1470d325237
15410a1d785
hex26daee051

10430111825 has 18 divisors (see below), whose sum is σ = 15044905926. Its totient is φ = 7152075840.

The previous prime is 10430111821. The next prime is 10430111849. The reversal of 10430111825 is 52811103401.

10430111825 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 3 ways, for example, as 1097199376 + 9332912449 = 33124^2 + 96607^2 .

It is not a de Polignac number, because 10430111825 - 22 = 10430111821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10430111794 and 10430111803.

It is not an unprimeable number, because it can be changed into a prime (10430111821) 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 17 ways as a sum of consecutive naturals, for example, 4255964 + ... + 4258413.

It is an arithmetic number, because the mean of its divisors is an integer number (835828107).

Almost surely, 210430111825 is an apocalyptic number.

It is an amenable number.

10430111825 is a deficient number, since it is larger than the sum of its proper divisors (4614794101).

10430111825 is an equidigital number, since it uses as much as digits as its factorization.

10430111825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8514401 (or 8514389 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The spelling of 10430111825 in words is "ten billion, four hundred thirty million, one hundred eleven thousand, eight hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 8514377 42571885 59600639 212859425 298003195 417204473 1490015975 2086022365 10430111825