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10110100009 is a prime number
BaseRepresentation
bin10010110101001101…
…11110001000101001
3222002120221021221111
421122212332020221
5131201141200014
64351114310321
7505352301142
oct113246761051
928076837844
1010110100009
114318984859
121b61a283a1
13c517591c9
146bca22ac9
153e28aa2c4
hex25a9be229

10110100009 has 2 divisors, whose sum is σ = 10110100010. Its totient is φ = 10110100008.

The previous prime is 10110100001. The next prime is 10110100019. The reversal of 10110100009 is 90000101101.

10110100009 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., 6768681984 + 3341418025 = 82272^2 + 57805^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110100009 - 23 = 10110100001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10110100001) 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, 5055050004 + 5055050005.

It is an arithmetic number, because the mean of its divisors is an integer number (5055050005).

Almost surely, 210110100009 is an apocalyptic number.

It is an amenable number.

10110100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110100009 is an equidigital number, since it uses as much as digits as its factorization.

10110100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 10110100009 in words is "ten billion, one hundred ten million, one hundred thousand, nine".