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10563140129 is a prime number
BaseRepresentation
bin10011101011001110…
…01011101000100001
31000021011102010011012
421311213023220201
5133113130441004
64504100430305
7522523131623
oct116547135041
930234363135
1010563140129
114530687583
1220696a8395
13cc457b899
14722c72c13
1541c54946e
hex2759cba21

10563140129 has 2 divisors, whose sum is σ = 10563140130. Its totient is φ = 10563140128.

The previous prime is 10563140123. The next prime is 10563140141. The reversal of 10563140129 is 92104136501.

10563140129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7895211025 + 2667929104 = 88855^2 + 51652^2 .

It is a cyclic number.

It is not a de Polignac number, because 10563140129 - 212 = 10563136033 is a prime.

It is a super-2 number, since 2×105631401292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10563140095 and 10563140104.

It is not a weakly prime, because it can be changed into another prime (10563140123) 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 as a sum of consecutive naturals, namely, 5281570064 + 5281570065.

It is an arithmetic number, because the mean of its divisors is an integer number (5281570065).

Almost surely, 210563140129 is an apocalyptic number.

It is an amenable number.

10563140129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10563140129 is an equidigital number, since it uses as much as digits as its factorization.

10563140129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 10563140129 in words is "ten billion, five hundred sixty-three million, one hundred forty thousand, one hundred twenty-nine".