Search a number
-
+
10142640631 is a prime number
BaseRepresentation
bin10010111001000110…
…00110100111110111
3222011212011112021201
421130203012213313
5131233004000011
64354235553331
7506226010564
oct113443064767
928155145251
1010142640631
114335290032
121b708bb847
13c58410706
146c309386b
153e5686cc1
hex25c8c69f7

10142640631 has 2 divisors, whose sum is σ = 10142640632. Its totient is φ = 10142640630.

The previous prime is 10142640611. The next prime is 10142640637. The reversal of 10142640631 is 13604624101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10142640631 is a prime.

It is a super-2 number, since 2×101426406312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10142640631.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10142640637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5071320315 + 5071320316.

It is an arithmetic number, because the mean of its divisors is an integer number (5071320316).

Almost surely, 210142640631 is an apocalyptic number.

10142640631 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142640631 is an equidigital number, since it uses as much as digits as its factorization.

10142640631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 10142640631 in words is "ten billion, one hundred forty-two million, six hundred forty thousand, six hundred thirty-one".