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111332002013 is a prime number
BaseRepresentation
bin110011110101111100…
…1111000100011011101
3101122100220210200121222
41213223321320203131
53311001443031023
6123051211103125
711020624255151
oct1475371704335
9348326720558
10111332002013
1143241015a21
12196b0a41aa5
13a66345b18b
145562075061
152d69009cc8
hex19ebe788dd

111332002013 has 2 divisors, whose sum is σ = 111332002014. Its totient is φ = 111332002012.

The previous prime is 111332001899. The next prime is 111332002027. The reversal of 111332002013 is 310200233111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74451488164 + 36880513849 = 272858^2 + 192043^2 .

It is a cyclic number.

It is not a de Polignac number, because 111332002013 - 216 = 111331936477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111332001982 and 111332002000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111332502013) 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, 55666001006 + 55666001007.

It is an arithmetic number, because the mean of its divisors is an integer number (55666001007).

Almost surely, 2111332002013 is an apocalyptic number.

It is an amenable number.

111332002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

111332002013 is an equidigital number, since it uses as much as digits as its factorization.

111332002013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 111332002013 its reverse (310200233111), we get a palindrome (421532235124).

The spelling of 111332002013 in words is "one hundred eleven billion, three hundred thirty-two million, two thousand, thirteen".