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112111210000249 is a prime number
BaseRepresentation
bin11001011111011011101100…
…110110001110111101111001
3112200221201121222121222202021
4121133123230312032331321
5104143312224230001444
61034235102345034441
732420524203443605
oct3137335466167571
9480851558558667
10112111210000249
11327a4108348199
12106a7aa1485a21
134a730709188b5
141d982d6588505
15ce640ab4b584
hex65f6ecd8ef79

112111210000249 has 2 divisors, whose sum is σ = 112111210000250. Its totient is φ = 112111210000248.

The previous prime is 112111210000091. The next prime is 112111210000343. The reversal of 112111210000249 is 942000012111211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109879451875600 + 2231758124649 = 10482340^2 + 1493907^2 .

It is a cyclic number.

It is not a de Polignac number, because 112111210000249 - 213 = 112111209992057 is a prime.

It is not a weakly prime, because it can be changed into another prime (112111210000849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56055605000124 + 56055605000125.

It is an arithmetic number, because the mean of its divisors is an integer number (56055605000125).

Almost surely, 2112111210000249 is an apocalyptic number.

It is an amenable number.

112111210000249 is a deficient number, since it is larger than the sum of its proper divisors (1).

112111210000249 is an equidigital number, since it uses as much as digits as its factorization.

112111210000249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 112111210000249 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred ten million, two hundred forty-nine", and thus it is an aban number.