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10113520309 is a prime number
BaseRepresentation
bin10010110101101000…
…00001001010110101
3222002211101001201021
421122310001022311
5131203030122214
64351315501141
7505423334644
oct113264011265
928084331637
1010113520309
11431a900552
121b62bb77b1
13c52385c59
146bd27335b
153e2d33924
hex25ad012b5

10113520309 has 2 divisors, whose sum is σ = 10113520310. Its totient is φ = 10113520308.

The previous prime is 10113520271. The next prime is 10113520327. The reversal of 10113520309 is 90302531101.

10113520309 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8249180625 + 1864339684 = 90825^2 + 43178^2 .

It is a cyclic number.

It is not a de Polignac number, because 10113520309 - 29 = 10113519797 is a prime.

It is a super-3 number, since 3×101135203093 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10113550309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056760154 + 5056760155.

It is an arithmetic number, because the mean of its divisors is an integer number (5056760155).

Almost surely, 210113520309 is an apocalyptic number.

It is an amenable number.

10113520309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113520309 is an equidigital number, since it uses as much as digits as its factorization.

10113520309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 25.

The spelling of 10113520309 in words is "ten billion, one hundred thirteen million, five hundred twenty thousand, three hundred nine".