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10002221993 is a prime number
BaseRepresentation
bin10010101000010110…
…11100101110101001
3221211001221112010102
421110023130232221
5130441032100433
64332302155145
7502602325031
oct112413345651
927731845112
1010002221993
114272aa2475
121b31882ab5
13c352b796a
146ac5808c1
153d819b4e8
hex2542dcba9

10002221993 has 2 divisors, whose sum is σ = 10002221994. Its totient is φ = 10002221992.

The previous prime is 10002221989. The next prime is 10002222011. The reversal of 10002221993 is 39912220001.

10002221993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9372563344 + 629658649 = 96812^2 + 25093^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002221993 - 22 = 10002221989 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002221923) 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, 5001110996 + 5001110997.

It is an arithmetic number, because the mean of its divisors is an integer number (5001110997).

Almost surely, 210002221993 is an apocalyptic number.

It is an amenable number.

10002221993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002221993 is an equidigital number, since it uses as much as digits as its factorization.

10002221993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

Adding to 10002221993 its reverse (39912220001), we get a palindrome (49914441994).

The spelling of 10002221993 in words is "ten billion, two million, two hundred twenty-one thousand, nine hundred ninety-three".