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10142134001 is a prime number
BaseRepresentation
bin10010111001000010…
…01010111011110001
3222011211012210022122
421130201022323301
5131232341242001
64354221044025
7506221500536
oct113441127361
928154183278
1010142134001
114334a7442a
121b706b6615
13c58293c2c
146c2da0d8d
153e55d6b1b
hex25c84aef1

10142134001 has 2 divisors, whose sum is σ = 10142134002. Its totient is φ = 10142134000.

The previous prime is 10142133979. The next prime is 10142134049. The reversal of 10142134001 is 10043124101.

It is a happy number.

10142134001 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., 10135656976 + 6477025 = 100676^2 + 2545^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142134001 - 226 = 10075025137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10142134201) 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, 5071067000 + 5071067001.

It is an arithmetic number, because the mean of its divisors is an integer number (5071067001).

Almost surely, 210142134001 is an apocalyptic number.

It is an amenable number.

10142134001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142134001 is an equidigital number, since it uses as much as digits as its factorization.

10142134001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10142134001 its reverse (10043124101), we get a palindrome (20185258102).

The spelling of 10142134001 in words is "ten billion, one hundred forty-two million, one hundred thirty-four thousand, one".