Search a number
-
+
10131788767 is a prime number
BaseRepresentation
bin10010110111110011…
…01101001111011111
3222011002202012022211
421123321231033133
5131222214220032
64353211221251
7506034532522
oct113371551737
928132665284
1010131788767
11432a148951
121b69147827
13c560b11a9
146c186abb9
153e4741747
hex25be6d3df

10131788767 has 2 divisors, whose sum is σ = 10131788768. Its totient is φ = 10131788766.

The previous prime is 10131788713. The next prime is 10131788791. The reversal of 10131788767 is 76788713101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10131788767 - 211 = 10131786719 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10131788767.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131788567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065894383 + 5065894384.

It is an arithmetic number, because the mean of its divisors is an integer number (5065894384).

Almost surely, 210131788767 is an apocalyptic number.

10131788767 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131788767 is an equidigital number, since it uses as much as digits as its factorization.

10131788767 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 395136, while the sum is 49.

The spelling of 10131788767 in words is "ten billion, one hundred thirty-one million, seven hundred eighty-eight thousand, seven hundred sixty-seven".