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111011011010993 is a prime number
BaseRepresentation
bin11001001111011011000011…
…111000001010000110110001
3112120001112211020010112002002
4121033123003320022012301
5104022301022304322433
61032033430542303345
732245165224361502
oct3117330370120661
9476045736115062
10111011011010993
113240a561734675
121054a816b87b55
1349c33a784b402
141d5ad668c2ba9
15cc79b79909e8
hex64f6c3e0a1b1

111011011010993 has 2 divisors, whose sum is σ = 111011011010994. Its totient is φ = 111011011010992.

The previous prime is 111011011010987. The next prime is 111011011011037. The reversal of 111011011010993 is 399010110110111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108157857610609 + 2853153400384 = 10399897^2 + 1689128^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111011011010993 is a prime.

It is not a weakly prime, because it can be changed into another prime (111011011010923) 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, 55505505505496 + 55505505505497.

It is an arithmetic number, because the mean of its divisors is an integer number (55505505505497).

Almost surely, 2111011011010993 is an apocalyptic number.

It is an amenable number.

111011011010993 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011011010993 is an equidigital number, since it uses as much as digits as its factorization.

111011011010993 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 29.

The spelling of 111011011010993 in words is "one hundred eleven trillion, eleven billion, eleven million, ten thousand, nine hundred ninety-three".