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3111110113 is a prime number
BaseRepresentation
bin1011100101101111…
…1100010111100001
322000211002202202111
42321123330113201
522332421010423
61232413515321
7140044666606
oct27133742741
98024082674
103111110113
111357160091
12729aa2b41
133a7717c77
1421728a6ad
151331e060d
hexb96fc5e1

3111110113 has 2 divisors, whose sum is σ = 3111110114. Its totient is φ = 3111110112.

The previous prime is 3111110099. The next prime is 3111110129. The reversal of 3111110113 is 3110111113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2646793809 + 464316304 = 51447^2 + 21548^2 .

It is a cyclic number.

It is not a de Polignac number, because 3111110113 - 213 = 3111101921 is a prime.

It is a super-2 number, since 2×31111101132 = 19358012270421745538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3111110093 and 3111110102.

It is not a weakly prime, because it can be changed into another prime (3111110153) 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, 1555555056 + 1555555057.

It is an arithmetic number, because the mean of its divisors is an integer number (1555555057).

Almost surely, 23111110113 is an apocalyptic number.

It is an amenable number.

3111110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3111110113 is an equidigital number, since it uses as much as digits as its factorization.

3111110113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 3111110113 is about 55777.3261549888. The cubic root of 3111110113 is about 1459.8395571800.

Adding to 3111110113 its reverse (3110111113), we get a palindrome (6221221226).

The spelling of 3111110113 in words is "three billion, one hundred eleven million, one hundred ten thousand, one hundred thirteen".