Search a number
-
+
210022220993617 is a prime number
BaseRepresentation
bin101111110000001110011011…
…111000001001010001010001
31000112121221001200120202010101
4233300032123320021101101
5210012001002033243432
62022402513143332401
762144414265213064
oct5760163370112121
91015557050522111
10210022220993617
1160a12a185347aa
121b67b868a51101
139026019c94126
1439c11b5dbc8db
15194325ec154e7
hexbf039be09451

210022220993617 has 2 divisors, whose sum is σ = 210022220993618. Its totient is φ = 210022220993616.

The previous prime is 210022220993581. The next prime is 210022220993633. The reversal of 210022220993617 is 716399022220012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186784046274816 + 23238174718801 = 13666896^2 + 4820599^2 .

It is a cyclic number.

It is not a de Polignac number, because 210022220993617 - 243 = 201226127971409 is a prime.

It is a super-3 number, since 3×2100222209936173 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (210022220903617) 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, 105011110496808 + 105011110496809.

It is an arithmetic number, because the mean of its divisors is an integer number (105011110496809).

Almost surely, 2210022220993617 is an apocalyptic number.

It is an amenable number.

210022220993617 is a deficient number, since it is larger than the sum of its proper divisors (1).

210022220993617 is an equidigital number, since it uses as much as digits as its factorization.

210022220993617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 210022220993617 in words is "two hundred ten trillion, twenty-two billion, two hundred twenty million, nine hundred ninety-three thousand, six hundred seventeen".