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10142382521 is a prime number
BaseRepresentation
bin10010111001000100…
…00111100110111001
3222011211200102020002
421130202013212321
5131232422220041
64354230242345
7506223554225
oct113442074671
928154612202
1010142382521
114335124117
121b707b63b5
13c5835009b
146c3027785
153e563559b
hex25c8879b9

10142382521 has 2 divisors, whose sum is σ = 10142382522. Its totient is φ = 10142382520.

The previous prime is 10142382487. The next prime is 10142382527. The reversal of 10142382521 is 12528324101.

It is a happy number.

10142382521 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., 8296477225 + 1845905296 = 91085^2 + 42964^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142382521 - 214 = 10142366137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10142382527) 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, 5071191260 + 5071191261.

It is an arithmetic number, because the mean of its divisors is an integer number (5071191261).

Almost surely, 210142382521 is an apocalyptic number.

It is an amenable number.

10142382521 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142382521 is an equidigital number, since it uses as much as digits as its factorization.

10142382521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 10142382521 in words is "ten billion, one hundred forty-two million, three hundred eighty-two thousand, five hundred twenty-one".