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10142327609 is a prime number
BaseRepresentation
bin10010111001000011…
…11010001100111001
3222011211120121220022
421130201322030321
5131232413440414
64354225140225
7506223235151
oct113441721471
928154517808
1010142327609
114335096937
121b7078a675
13c583310ab
146c3011761
153e562418e
hex25c87a339

10142327609 has 2 divisors, whose sum is σ = 10142327610. Its totient is φ = 10142327608.

The previous prime is 10142327597. The next prime is 10142327617. The reversal of 10142327609 is 90672324101.

10142327609 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 can be written as a sum of positive squares in only one way, i.e., 6459658384 + 3682669225 = 80372^2 + 60685^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142327609 - 228 = 9873892153 is a prime.

It is a super-3 number, since 3×101423276093 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10142327309) 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, 5071163804 + 5071163805.

It is an arithmetic number, because the mean of its divisors is an integer number (5071163805).

Almost surely, 210142327609 is an apocalyptic number.

It is an amenable number.

10142327609 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142327609 is an equidigital number, since it uses as much as digits as its factorization.

10142327609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 10142327609 in words is "ten billion, one hundred forty-two million, three hundred twenty-seven thousand, six hundred nine".