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10144135619 is a prime number
BaseRepresentation
bin10010111001010001…
…10011100111000011
3222011221222111000122
421130220303213003
5131233344314434
64354332010455
7506244505262
oct113450634703
928157874018
1010144135619
114336111262
121b71300a2b
13c58815017
146c33625d9
153e587ec2e
hex25ca339c3

10144135619 has 2 divisors, whose sum is σ = 10144135620. Its totient is φ = 10144135618.

The previous prime is 10144135523. The next prime is 10144135657. The reversal of 10144135619 is 91653144101.

10144135619 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10144135619 - 224 = 10127358403 is a prime.

It is a super-2 number, since 2×101441356192 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (10144135669) 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, 5072067809 + 5072067810.

It is an arithmetic number, because the mean of its divisors is an integer number (5072067810).

Almost surely, 210144135619 is an apocalyptic number.

10144135619 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144135619 is an equidigital number, since it uses as much as digits as its factorization.

10144135619 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 10144135619 in words is "ten billion, one hundred forty-four million, one hundred thirty-five thousand, six hundred nineteen".