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110012111113 is a prime number
BaseRepresentation
bin110011001110100111…
…0111001100100001001
3101111221221012021200211
41212131032321210021
53300301100023423
6122312221201121
710643126341552
oct1463516714411
9344857167624
10110012111113
1142723a723a3
12193a2a001a1
13a4b2b7a648
145478a57329
152cdd1db10d
hex199d3b9909

110012111113 has 2 divisors, whose sum is σ = 110012111114. Its totient is φ = 110012111112.

The previous prime is 110012111089. The next prime is 110012111119. The reversal of 110012111113 is 311111210011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79300249609 + 30711861504 = 281603^2 + 175248^2 .

It is a cyclic number.

It is not a de Polignac number, because 110012111113 - 29 = 110012110601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110012111093 and 110012111102.

It is not a weakly prime, because it can be changed into another prime (110012111119) 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, 55006055556 + 55006055557.

It is an arithmetic number, because the mean of its divisors is an integer number (55006055557).

Almost surely, 2110012111113 is an apocalyptic number.

It is an amenable number.

110012111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

110012111113 is an equidigital number, since it uses as much as digits as its factorization.

110012111113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 110012111113 its reverse (311111210011), we get a palindrome (421123321124).

The spelling of 110012111113 in words is "one hundred ten billion, twelve million, one hundred eleven thousand, one hundred thirteen".