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111112310117 is a prime number
BaseRepresentation
bin110011101111011001…
…1110100110101100101
3101121210121102012000002
41213132303310311211
53310024222410432
6123013322231045
711012316024044
oct1473663646545
9347717365002
10111112310117
1143139003176
121964b355485
13a629a9aa83
145540c0855b
152d54ab0e62
hex19decf4d65

111112310117 has 2 divisors, whose sum is σ = 111112310118. Its totient is φ = 111112310116.

The previous prime is 111112310051. The next prime is 111112310123. The reversal of 111112310117 is 711013211111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109080915076 + 2031395041 = 330274^2 + 45071^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111112310117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111112310167) 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, 55556155058 + 55556155059.

It is an arithmetic number, because the mean of its divisors is an integer number (55556155059).

Almost surely, 2111112310117 is an apocalyptic number.

It is an amenable number.

111112310117 is a deficient number, since it is larger than the sum of its proper divisors (1).

111112310117 is an equidigital number, since it uses as much as digits as its factorization.

111112310117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 20.

Adding to 111112310117 its reverse (711013211111), we get a palindrome (822125521228).

The spelling of 111112310117 in words is "one hundred eleven billion, one hundred twelve million, three hundred ten thousand, one hundred seventeen".