Search a number
-
+
111101110110017 is a prime number
BaseRepresentation
bin11001010000101110111110…
…001100111100011101000001
3112120101011101101110222111122
4121100232332030330131001
5104030240033142010032
61032143051222522025
732254535036155466
oct3120567614743501
9476334341428448
10111101110110017
1132444797291285
1210564180b96315
1349cba3605a061
141d61472a1966d
15cc9edc895012
hex650bbe33c741

111101110110017 has 2 divisors, whose sum is σ = 111101110110018. Its totient is φ = 111101110110016.

The previous prime is 111101110109999. The next prime is 111101110110019. The reversal of 111101110110017 is 710011011101111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78906107833921 + 32195002276096 = 8882911^2 + 5674064^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101110110017 - 218 = 111101109847873 is a prime.

Together with 111101110110019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 111101110109977 and 111101110110004.

It is not a weakly prime, because it can be changed into another prime (111101110110019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550555055008 + 55550555055009.

It is an arithmetic number, because the mean of its divisors is an integer number (55550555055009).

Almost surely, 2111101110110017 is an apocalyptic number.

It is an amenable number.

111101110110017 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101110110017 is an equidigital number, since it uses as much as digits as its factorization.

111101110110017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 17.

Adding to 111101110110017 its reverse (710011011101111), we get a palindrome (821112121211128).

The spelling of 111101110110017 in words is "one hundred eleven trillion, one hundred one billion, one hundred ten million, one hundred ten thousand, seventeen".