Search a number
-
+
212414000273 is a prime number
BaseRepresentation
bin1100010111010011011…
…1000110110010010001
3202022021111102020110022
43011310313012302101
511440010441002043
6241325345113225
721226550132426
oct3056467066221
9668244366408
10212414000273
11820a2190362
1235201028815
1317052187877
14a3d0aa9d4d
1557d3221868
hex3174dc6c91

212414000273 has 2 divisors, whose sum is σ = 212414000274. Its totient is φ = 212414000272.

The previous prime is 212414000269. The next prime is 212414000341. The reversal of 212414000273 is 372000414212.

212414000273 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., 117852830209 + 94561170064 = 343297^2 + 307508^2 .

It is a cyclic number.

It is not a de Polignac number, because 212414000273 - 22 = 212414000269 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (212414000473) 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, 106207000136 + 106207000137.

It is an arithmetic number, because the mean of its divisors is an integer number (106207000137).

Almost surely, 2212414000273 is an apocalyptic number.

It is an amenable number.

212414000273 is a deficient number, since it is larger than the sum of its proper divisors (1).

212414000273 is an equidigital number, since it uses as much as digits as its factorization.

212414000273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 26.

Adding to 212414000273 its reverse (372000414212), we get a palindrome (584414414485).

The spelling of 212414000273 in words is "two hundred twelve billion, four hundred fourteen million, two hundred seventy-three", and thus it is an aban number.