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11110110100993 is a prime number
BaseRepresentation
bin1010000110101100011000…
…1010100111111000000001
31110100010010200020100212001
42201223012022213320001
52424012001141212433
635343525241104001
72224451612456041
oct241530612477001
943303120210761
1011110110100993
1135a385356a582
1212b5269488001
136278a9690277
142a5a37219721
15143eed29e57d
hexa1ac62a7e01

11110110100993 has 2 divisors, whose sum is σ = 11110110100994. Its totient is φ = 11110110100992.

The previous prime is 11110110100987. The next prime is 11110110101021. The reversal of 11110110100993 is 39900101101111.

It is an a-pointer prime, because the next prime (11110110101021) can be obtained adding 11110110100993 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5968136622529 + 5141973478464 = 2442977^2 + 2267592^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11110110100993 is a prime.

It is not a weakly prime, because it can be changed into another prime (11110110100963) 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, 5555055050496 + 5555055050497.

It is an arithmetic number, because the mean of its divisors is an integer number (5555055050497).

Almost surely, 211110110100993 is an apocalyptic number.

It is an amenable number.

11110110100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

11110110100993 is an equidigital number, since it uses as much as digits as its factorization.

11110110100993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 28.

The spelling of 11110110100993 in words is "eleven trillion, one hundred ten billion, one hundred ten million, one hundred thousand, nine hundred ninety-three".