Search a number
-
+
212021222212081 is a prime number
BaseRepresentation
bin110000001101010100001001…
…101000101000000111110001
31000210201000211112001020101201
4300031110021220220013301
5210242223430341241311
62030533112125131201
762442012352213462
oct6015241150500761
91023630745036351
10212021222212081
11616137716141a7
121b9431723b9b01
13913c691626ab9
143a4dc4bd5ad69
15197a25a1a29c1
hexc0d509a281f1

212021222212081 has 2 divisors, whose sum is σ = 212021222212082. Its totient is φ = 212021222212080.

The previous prime is 212021222212057. The next prime is 212021222212133. The reversal of 212021222212081 is 180212222120212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209500033981456 + 2521188230625 = 14474116^2 + 1587825^2 .

It is a cyclic number.

It is not a de Polignac number, because 212021222212081 - 229 = 212020685341169 is a prime.

It is a super-2 number, since 2×2120212222120812 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212021222212021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106010611106040 + 106010611106041.

It is an arithmetic number, because the mean of its divisors is an integer number (106010611106041).

Almost surely, 2212021222212081 is an apocalyptic number.

It is an amenable number.

212021222212081 is a deficient number, since it is larger than the sum of its proper divisors (1).

212021222212081 is an equidigital number, since it uses as much as digits as its factorization.

212021222212081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 28.

Adding to 212021222212081 its reverse (180212222120212), we get a palindrome (392233444332293).

The spelling of 212021222212081 in words is "two hundred twelve trillion, twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, eighty-one".