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10266260129 is a prime number
BaseRepresentation
bin10011000111110101…
…01011001010100001
3222111110210001100122
421203322223022201
5132011130311004
64414413330025
7512256525356
oct114372531241
928443701318
1010266260129
114399044204
121ba6196915
13c77c03c48
146d567262d
15401454cbe
hex263eab2a1

10266260129 has 2 divisors, whose sum is σ = 10266260130. Its totient is φ = 10266260128.

The previous prime is 10266260117. The next prime is 10266260141. The reversal of 10266260129 is 92106266201.

It is a happy number.

10266260129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10266260117) and next prime (10266260141).

It can be written as a sum of positive squares in only one way, i.e., 10150159504 + 116100625 = 100748^2 + 10775^2 .

It is an emirp because it is prime and its reverse (92106266201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10266260129 - 220 = 10265211553 is a prime.

It is not a weakly prime, because it can be changed into another prime (10266260189) 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, 5133130064 + 5133130065.

It is an arithmetic number, because the mean of its divisors is an integer number (5133130065).

Almost surely, 210266260129 is an apocalyptic number.

It is an amenable number.

10266260129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10266260129 is an equidigital number, since it uses as much as digits as its factorization.

10266260129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 10266260129 in words is "ten billion, two hundred sixty-six million, two hundred sixty thousand, one hundred twenty-nine".