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22110100993 is a prime number
BaseRepresentation
bin10100100101110111…
…010101111000000001
32010001220001111122101
4110211313111320001
5330240141212433
614053544110401
71411623520561
oct244567257001
963056044571
1022110100993
119416637142
124350765401
1321148c12c6
1410da640da1
1589612b07d
hex525dd5e01

22110100993 has 2 divisors, whose sum is σ = 22110100994. Its totient is φ = 22110100992.

The previous prime is 22110100979. The next prime is 22110101017. The reversal of 22110100993 is 39900101122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22108121344 + 1979649 = 148688^2 + 1407^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22110100993 is a prime.

It is not a weakly prime, because it can be changed into another prime (22110100393) 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, 11055050496 + 11055050497.

It is an arithmetic number, because the mean of its divisors is an integer number (11055050497).

Almost surely, 222110100993 is an apocalyptic number.

It is an amenable number.

22110100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

22110100993 is an equidigital number, since it uses as much as digits as its factorization.

22110100993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 22110100993 in words is "twenty-two billion, one hundred ten million, one hundred thousand, nine hundred ninety-three".