Search a number
-
+
221236809144319 is a prime number
BaseRepresentation
bin110010010011011010110101…
…011010111001011111111111
31002000100000212121200221121001
4302103122311122321133333
5212444220441120104234
62102310441555551131
764412555241530143
oct6223326532713777
91060300777627531
10221236809144319
1164547005148401
12209912138bb4a7
13965a706b23587
143c8bcc0c8d223
151a89d25403d14
hexc936b56b97ff

221236809144319 has 2 divisors, whose sum is σ = 221236809144320. Its totient is φ = 221236809144318.

The previous prime is 221236809144311. The next prime is 221236809144359. The reversal of 221236809144319 is 913441908632122.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 221236809144319 - 23 = 221236809144311 is a prime.

It is a super-2 number, since 2×2212368091443192 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221236809144319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221236809144311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110618404572159 + 110618404572160.

It is an arithmetic number, because the mean of its divisors is an integer number (110618404572160).

Almost surely, 2221236809144319 is an apocalyptic number.

221236809144319 is a deficient number, since it is larger than the sum of its proper divisors (1).

221236809144319 is an equidigital number, since it uses as much as digits as its factorization.

221236809144319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 221236809144319 in words is "two hundred twenty-one trillion, two hundred thirty-six billion, eight hundred nine million, one hundred forty-four thousand, three hundred nineteen".