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10110110110993 is a prime number
BaseRepresentation
bin1001001100011111000110…
…0001011001010100010001
31022210111221221211110002101
42103013301201121110101
52311121001142022433
633300304230520401
72062300645011124
oct223076141312421
938714857743071
1010110110110993
113248745651152
1211734a7506101
135844c13c9159
1426d490bb63bb
15127ec1a3b07d
hex931f1859511

10110110110993 has 2 divisors, whose sum is σ = 10110110110994. Its totient is φ = 10110110110992.

The previous prime is 10110110110963. The next prime is 10110110111149. The reversal of 10110110110993 is 39901101101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5988430554129 + 4121679556864 = 2447127^2 + 2030192^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110110110993 - 29 = 10110110110481 is a prime.

It is not a weakly prime, because it can be changed into another prime (10110110110963) 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, 5055055055496 + 5055055055497.

It is an arithmetic number, because the mean of its divisors is an integer number (5055055055497).

Almost surely, 210110110110993 is an apocalyptic number.

It is an amenable number.

10110110110993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110110110993 is an equidigital number, since it uses as much as digits as its factorization.

10110110110993 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 10110110110993 in words is "ten trillion, one hundred ten billion, one hundred ten million, one hundred ten thousand, nine hundred ninety-three".