Search a number
-
+
212444332237 is a prime number
BaseRepresentation
bin1100010111011010101…
…0110100000011001101
3202022100121111021002101
43011312222310003031
511440041222112422
6241332351155101
721230366013004
oct3056652640315
9668317437071
10212444332237
11821083181a5
123520b215a91
1317058547987
14a3d4b23c3b
1557d5c13c27
hex3176ab40cd

212444332237 has 2 divisors, whose sum is σ = 212444332238. Its totient is φ = 212444332236.

The previous prime is 212444332229. The next prime is 212444332267. The reversal of 212444332237 is 732233444212.

212444332237 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., 201265287876 + 11179044361 = 448626^2 + 105731^2 .

It is a cyclic number.

It is not a de Polignac number, because 212444332237 - 23 = 212444332229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212444332196 and 212444332205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212444332267) 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, 106222166118 + 106222166119.

It is an arithmetic number, because the mean of its divisors is an integer number (106222166119).

Almost surely, 2212444332237 is an apocalyptic number.

It is an amenable number.

212444332237 is a deficient number, since it is larger than the sum of its proper divisors (1).

212444332237 is an equidigital number, since it uses as much as digits as its factorization.

212444332237 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 193536, while the sum is 37.

Adding to 212444332237 its reverse (732233444212), we get a palindrome (944677776449).

The spelling of 212444332237 in words is "two hundred twelve billion, four hundred forty-four million, three hundred thirty-two thousand, two hundred thirty-seven".