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1110110111113 is a prime number
BaseRepresentation
bin10000001001110111101…
…110000000010110001001
310221010101111000121220111
4100021313232000112021
5121142001142023423
62205551052154321
7143126364153103
oct20116756002611
93833344017814
101110110111113
11398882243123
1215b1917689a1
13808b5539543
143ba300d0573
151dd2335e60d
hex10277b80589

1110110111113 has 2 divisors, whose sum is σ = 1110110111114. Its totient is φ = 1110110111112.

The previous prime is 1110110111083. The next prime is 1110110111153. The reversal of 1110110111113 is 3111110110111.

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., 711175129344 + 398934981769 = 843312^2 + 631613^2 .

It is an emirp because it is prime and its reverse (3111110110111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1110110111113 - 221 = 1110108013961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1110110111093 and 1110110111102.

It is not a weakly prime, because it can be changed into another prime (1110110111153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555055055556 + 555055055557.

It is an arithmetic number, because the mean of its divisors is an integer number (555055055557).

Almost surely, 21110110111113 is an apocalyptic number.

It is an amenable number.

1110110111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110110111113 is an equidigital number, since it uses as much as digits as its factorization.

1110110111113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 13.

Adding to 1110110111113 its reverse (3111110110111), we get a palindrome (4221220221224).

The spelling of 1110110111113 in words is "one trillion, one hundred ten billion, one hundred ten million, one hundred eleven thousand, one hundred thirteen".