Search a number
-
+
101835760781 is a prime number
BaseRepresentation
bin101111011010111100…
…0100110010010001101
3100201212002221122121202
41132311320212102031
53132024423321111
6114441021435245
710233404453516
oct1366570462215
9321762848552
10101835760781
113a2086a5377
12178a070bb25
1397abc40921
144d00ba5a0d
1529b04a8b3b
hex17b5e2648d

101835760781 has 2 divisors, whose sum is σ = 101835760782. Its totient is φ = 101835760780.

The previous prime is 101835760751. The next prime is 101835760787. The reversal of 101835760781 is 187067538101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98449102756 + 3386658025 = 313766^2 + 58195^2 .

It is a cyclic number.

It is not a de Polignac number, because 101835760781 - 26 = 101835760717 is a prime.

It is a super-2 number, since 2×1018357607812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101835760787) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50917880390 + 50917880391.

It is an arithmetic number, because the mean of its divisors is an integer number (50917880391).

Almost surely, 2101835760781 is an apocalyptic number.

It is an amenable number.

101835760781 is a deficient number, since it is larger than the sum of its proper divisors (1).

101835760781 is an equidigital number, since it uses as much as digits as its factorization.

101835760781 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 282240, while the sum is 47.

The spelling of 101835760781 in words is "one hundred one billion, eight hundred thirty-five million, seven hundred sixty thousand, seven hundred eighty-one".