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212212102321 is a prime number
BaseRepresentation
bin1100010110100011010…
…0111011010010110001
3202021202102111202112101
43011220310323102301
511434102244233241
6241253333500401
721221546051602
oct3055064732261
9667672452471
10212212102321
1181aa922144a
12351654a1701
131701c3b771b
14a3b1d51da9
1557c063ee31
hex3168d3b4b1

212212102321 has 2 divisors, whose sum is σ = 212212102322. Its totient is φ = 212212102320.

The previous prime is 212212102301. The next prime is 212212102357. The reversal of 212212102321 is 123201212212.

212212102321 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., 211747225600 + 464876721 = 460160^2 + 21561^2 .

It is a cyclic number.

It is not a de Polignac number, because 212212102321 - 221 = 212210005169 is a prime.

It is not a weakly prime, because it can be changed into another prime (212212102301) 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, 106106051160 + 106106051161.

It is an arithmetic number, because the mean of its divisors is an integer number (106106051161).

Almost surely, 2212212102321 is an apocalyptic number.

It is an amenable number.

212212102321 is a deficient number, since it is larger than the sum of its proper divisors (1).

212212102321 is an equidigital number, since it uses as much as digits as its factorization.

212212102321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 212212102321 its reverse (123201212212), we get a palindrome (335413314533).

The spelling of 212212102321 in words is "two hundred twelve billion, two hundred twelve million, one hundred two thousand, three hundred twenty-one".