Search a number
-
+
10142412089 is a prime number
BaseRepresentation
bin10010111001000100…
…01110110100111001
3222011211201220210012
421130202032310321
5131232424141324
64354231031305
7506224036355
oct113442166471
928154656705
1010142412089
114335144357
121b7080b535
13c58360694
146c3034465
153e563e20e
hex25c88ed39

10142412089 has 2 divisors, whose sum is σ = 10142412090. Its totient is φ = 10142412088.

The previous prime is 10142412043. The next prime is 10142412101. The reversal of 10142412089 is 98021424101.

It is a happy number.

10142412089 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., 8768449600 + 1373962489 = 93640^2 + 37067^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10142412089 is a prime.

It is not a weakly prime, because it can be changed into another prime (10142412589) 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, 5071206044 + 5071206045.

It is an arithmetic number, because the mean of its divisors is an integer number (5071206045).

Almost surely, 210142412089 is an apocalyptic number.

It is an amenable number.

10142412089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142412089 is an equidigital number, since it uses as much as digits as its factorization.

10142412089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 10142412089 in words is "ten billion, one hundred forty-two million, four hundred twelve thousand, eighty-nine".