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212011111199113 is a prime number
BaseRepresentation
bin110000001101001010101110…
…111110001011000110001001
31000210200001201212101120002221
4300031022232332023012021
5210242042223431332423
62030524320535054041
762441203656060532
oct6015125676130611
91023601655346087
10212011111199113
116160a453176536
121b941210211321
13913b73c93b1a5
143a4d56d17b689
151979d676b6e5d
hexc0d2aef8b189

212011111199113 has 2 divisors, whose sum is σ = 212011111199114. Its totient is φ = 212011111199112.

The previous prime is 212011111199099. The next prime is 212011111199159. The reversal of 212011111199113 is 311991111110212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 143421773629689 + 68589337569424 = 11975883^2 + 8281868^2 .

It is a cyclic number.

It is not a de Polignac number, because 212011111199113 - 217 = 212011111068041 is a prime.

It is a super-2 number, since 2×2120111111991132 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212011111199183) 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, 106005555599556 + 106005555599557.

It is an arithmetic number, because the mean of its divisors is an integer number (106005555599557).

Almost surely, 2212011111199113 is an apocalyptic number.

It is an amenable number.

212011111199113 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011111199113 is an equidigital number, since it uses as much as digits as its factorization.

212011111199113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 34.

The spelling of 212011111199113 in words is "two hundred twelve trillion, eleven billion, one hundred eleven million, one hundred ninety-nine thousand, one hundred thirteen".