Search a number
-
+
212012120249 is a prime number
BaseRepresentation
bin1100010101110011101…
…0000011100010111001
3202021020111012121200222
43011130322003202321
511433200100321444
6241221431305425
721213600200516
oct3053472034271
9667214177628
10212012120249
1181a06350a06
123510a51b275
1316cb9b38637
14a39357630d
1557accdaeee
hex315ce838b9

212012120249 has 2 divisors, whose sum is σ = 212012120250. Its totient is φ = 212012120248.

The previous prime is 212012120227. The next prime is 212012120263. The reversal of 212012120249 is 942021210212.

212012120249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129452442025 + 82559678224 = 359795^2 + 287332^2 .

It is a cyclic number.

It is not a de Polignac number, because 212012120249 - 232 = 207717152953 is a prime.

It is not a weakly prime, because it can be changed into another prime (212012120209) 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, 106006060124 + 106006060125.

It is an arithmetic number, because the mean of its divisors is an integer number (106006060125).

Almost surely, 2212012120249 is an apocalyptic number.

It is an amenable number.

212012120249 is a deficient number, since it is larger than the sum of its proper divisors (1).

212012120249 is an equidigital number, since it uses as much as digits as its factorization.

212012120249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 212012120249 in words is "two hundred twelve billion, twelve million, one hundred twenty thousand, two hundred forty-nine".