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116838136133 is a prime number
BaseRepresentation
bin110110011010000011…
…0000111100101000101
3102011120122120021200022
41230310012013211011
53403241030324013
6125401422424525
711304233525255
oct1546406074505
9364518507608
10116838136133
1145607099a94
121a788a32145
13b03010bbc4
145925447965
15308c5dc008
hex1b34187945

116838136133 has 2 divisors, whose sum is σ = 116838136134. Its totient is φ = 116838136132.

The previous prime is 116838136097. The next prime is 116838136157. The reversal of 116838136133 is 331631838611.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111320320609 + 5517815524 = 333647^2 + 74282^2 .

It is an emirp because it is prime and its reverse (331631838611) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 116838136133 - 228 = 116569700677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (116538136133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58419068066 + 58419068067.

It is an arithmetic number, because the mean of its divisors is an integer number (58419068067).

Almost surely, 2116838136133 is an apocalyptic number.

It is an amenable number.

116838136133 is a deficient number, since it is larger than the sum of its proper divisors (1).

116838136133 is an equidigital number, since it uses as much as digits as its factorization.

116838136133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 186624, while the sum is 44.

The spelling of 116838136133 in words is "one hundred sixteen billion, eight hundred thirty-eight million, one hundred thirty-six thousand, one hundred thirty-three".