Search a number
-
+
210201210221993 is a prime number
BaseRepresentation
bin101111110010110101001000…
…011101110111010110101001
31000120021001001202101122100222
4233302311020131313112221
5210022414034304100433
62023021034115535425
762163351641440124
oct5762651035672651
91016231052348328
10210201210221993
1160a81918266231
121b6aa49bbba575
139039b73399653
1439c9b158653bb
151947c38810b98
hexbf2d487775a9

210201210221993 has 2 divisors, whose sum is σ = 210201210221994. Its totient is φ = 210201210221992.

The previous prime is 210201210221957. The next prime is 210201210222007. The reversal of 210201210221993 is 399122012102012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182871610138009 + 27329600083984 = 13523003^2 + 5227772^2 .

It is a cyclic number.

It is not a de Polignac number, because 210201210221993 - 234 = 210184030352809 is a prime.

It is a super-3 number, since 3×2102012102219933 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (210201210221953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105100605110996 + 105100605110997.

It is an arithmetic number, because the mean of its divisors is an integer number (105100605110997).

Almost surely, 2210201210221993 is an apocalyptic number.

It is an amenable number.

210201210221993 is a deficient number, since it is larger than the sum of its proper divisors (1).

210201210221993 is an equidigital number, since it uses as much as digits as its factorization.

210201210221993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 210201210221993 in words is "two hundred ten trillion, two hundred one billion, two hundred ten million, two hundred twenty-one thousand, nine hundred ninety-three".