Search a number
-
+
10042717231 is a prime number
BaseRepresentation
bin10010101101001011…
…11011010000101111
3221220220010220011001
421112211323100233
5131031413422411
64340310141131
7503603454661
oct112645732057
927826126131
1010042717231
114293941108
121b433517a7
13c407c5a41
146b3ac2531
153db9e9dc1
hex25697b42f

10042717231 has 2 divisors, whose sum is σ = 10042717232. Its totient is φ = 10042717230.

The previous prime is 10042717229. The next prime is 10042717247. The reversal of 10042717231 is 13271724001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10042717231 - 21 = 10042717229 is a prime.

It is a super-2 number, since 2×100427172312 (a number of 21 digits) contains 22 as substring.

Together with 10042717229, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10042717231.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10042717261) 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, 5021358615 + 5021358616.

It is an arithmetic number, because the mean of its divisors is an integer number (5021358616).

Almost surely, 210042717231 is an apocalyptic number.

10042717231 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042717231 is an equidigital number, since it uses as much as digits as its factorization.

10042717231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 28.

The spelling of 10042717231 in words is "ten billion, forty-two million, seven hundred seventeen thousand, two hundred thirty-one".