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1110111101009 is a prime number
BaseRepresentation
bin10000001001110111110…
…001110010000001010001
310221010101112212220210022
4100021313301302001101
5121142001420213014
62205551125313225
7143126405445101
oct20116761620121
93833345786708
101110111101009
11398882859919
1215b191b65815
13808b57c4c91
143ba302ab201
151dd234a7a8e
hex10277c72051

1110111101009 has 2 divisors, whose sum is σ = 1110111101010. Its totient is φ = 1110111101008.

The previous prime is 1110111100999. The next prime is 1110111101059. The reversal of 1110111101009 is 9001011110111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1063992250000 + 46118851009 = 1031500^2 + 214753^2 .

It is a cyclic number.

It is not a de Polignac number, because 1110111101009 - 220 = 1110110052433 is a prime.

It is not a weakly prime, because it can be changed into another prime (1110111101059) 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, 555055550504 + 555055550505.

It is an arithmetic number, because the mean of its divisors is an integer number (555055550505).

Almost surely, 21110111101009 is an apocalyptic number.

It is an amenable number.

1110111101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110111101009 is an equidigital number, since it uses as much as digits as its factorization.

1110111101009 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 17.

The spelling of 1110111101009 in words is "one trillion, one hundred ten billion, one hundred eleven million, one hundred one thousand, nine".