Search a number
-
+
106760011613 is a prime number
BaseRepresentation
bin110001101101101100…
…1000111111101011101
3101012120021210111212012
41203123121013331131
53222121030332423
6121013405321005
710466420061113
oct1433331077535
9335507714765
10106760011613
1141305274962
1218835866165
13a0b5199c08
14524ab89ab3
152b9c94b078
hex18db647f5d

106760011613 has 2 divisors, whose sum is σ = 106760011614. Its totient is φ = 106760011612.

The previous prime is 106760011549. The next prime is 106760011637. The reversal of 106760011613 is 316110067601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106668866404 + 91145209 = 326602^2 + 9547^2 .

It is a cyclic number.

It is not a de Polignac number, because 106760011613 - 26 = 106760011549 is a prime.

It is a super-2 number, since 2×1067600116132 (a number of 23 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 106760011613.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106760011693) 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, 53380005806 + 53380005807.

It is an arithmetic number, because the mean of its divisors is an integer number (53380005807).

Almost surely, 2106760011613 is an apocalyptic number.

It is an amenable number.

106760011613 is a deficient number, since it is larger than the sum of its proper divisors (1).

106760011613 is an equidigital number, since it uses as much as digits as its factorization.

106760011613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 32.

The spelling of 106760011613 in words is "one hundred six billion, seven hundred sixty million, eleven thousand, six hundred thirteen".