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110111101011101 is a prime number
BaseRepresentation
bin11001000010010100111101…
…000011111100010010011101
3112102212111222221200220210002
4121002110331003330102131
5103413030013324323401
61030104201432024045
732123156505524111
oct3102247503742235
9472774887626702
10110111101011101
11320a2945a26233
1210424328b32025
134959580914308
141d29597447741
15cae3982e0a6b
hex64253d0fc49d

110111101011101 has 2 divisors, whose sum is σ = 110111101011102. Its totient is φ = 110111101011100.

The previous prime is 110111101011097. The next prime is 110111101011133. The reversal of 110111101011101 is 101110101111011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106229590287076 + 3881510724025 = 10306774^2 + 1970155^2 .

It is a cyclic number.

It is not a de Polignac number, because 110111101011101 - 22 = 110111101011097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110111101013101) 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, 55055550505550 + 55055550505551.

It is an arithmetic number, because the mean of its divisors is an integer number (55055550505551).

Almost surely, 2110111101011101 is an apocalyptic number.

It is an amenable number.

110111101011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111101011101 is an equidigital number, since it uses as much as digits as its factorization.

110111101011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 110111101011101 its reverse (101110101111011), we get a palindrome (211221202122112).

The spelling of 110111101011101 in words is "one hundred ten trillion, one hundred eleven billion, one hundred one million, eleven thousand, one hundred one".