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110110110011113 is a prime number
BaseRepresentation
bin11001000010010100000001…
…111111100100111011101001
3112102212102102212221220100211
4121002110001333210323221
5103413021001130323423
61030103515231301121
732123123113256242
oct3102240177447351
9472772385856324
10110110110011113
11320a248759a283
12104240b107a7a1
1349594535087a4
141d2950199dcc9
15cae33b2db10d
hex642501fe4ee9

110110110011113 has 2 divisors, whose sum is σ = 110110110011114. Its totient is φ = 110110110011112.

The previous prime is 110110110011101. The next prime is 110110110011117. The reversal of 110110110011113 is 311110011011011.

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., 103867242974784 + 6242867036329 = 10191528^2 + 2498573^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110110011113 - 29 = 110110110010601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110110110011093 and 110110110011102.

It is not a weakly prime, because it can be changed into another prime (110110110011117) 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, 55055055005556 + 55055055005557.

It is an arithmetic number, because the mean of its divisors is an integer number (55055055005557).

Almost surely, 2110110110011113 is an apocalyptic number.

It is an amenable number.

110110110011113 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110110011113 is an equidigital number, since it uses as much as digits as its factorization.

110110110011113 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 110110110011113 its reverse (311110011011011), we get a palindrome (421220121022124).

The spelling of 110110110011113 in words is "one hundred ten trillion, one hundred ten billion, one hundred ten million, eleven thousand, one hundred thirteen".