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111012111017 is a prime number
BaseRepresentation
bin110011101100011010…
…1100110001010101001
3101121112121212112200022
41213120311212022221
53304323100023032
6122555342450225
711006661242303
oct1473065461251
9347477775608
10111012111017
11430974960a5
1219621893975
13a6120b7772
1455317a4973
152d4adbc512
hex19d8d662a9

111012111017 has 2 divisors, whose sum is σ = 111012111018. Its totient is φ = 111012111016.

The previous prime is 111012110999. The next prime is 111012111037. The reversal of 111012111017 is 710111210111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101669148736 + 9342962281 = 318856^2 + 96659^2 .

It is a cyclic number.

It is not a de Polignac number, because 111012111017 - 212 = 111012106921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111012110986 and 111012111004.

It is not a weakly prime, because it can be changed into another prime (111012111037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55506055508 + 55506055509.

It is an arithmetic number, because the mean of its divisors is an integer number (55506055509).

Almost surely, 2111012111017 is an apocalyptic number.

It is an amenable number.

111012111017 is a deficient number, since it is larger than the sum of its proper divisors (1).

111012111017 is an equidigital number, since it uses as much as digits as its factorization.

111012111017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 17.

Adding to 111012111017 its reverse (710111210111), we get a palindrome (821123321128).

The spelling of 111012111017 in words is "one hundred eleven billion, twelve million, one hundred eleven thousand, seventeen".