Search a number
-
+
212000001221 is a prime number
BaseRepresentation
bin1100010101110000101…
…1110100110011000101
3202021012122101220112002
43011130023310303011
511433134000014341
6241220315435045
721213362164211
oct3053413646305
9667178356462
10212000001221
11819aa523788
1235106455a85
1316cb7484408
14a391add941
1557abbe529b
hex315c2f4cc5

212000001221 has 2 divisors, whose sum is σ = 212000001222. Its totient is φ = 212000001220.

The previous prime is 212000001197. The next prime is 212000001293. The reversal of 212000001221 is 122100000212.

It is a happy number.

212000001221 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., 208876420900 + 3123580321 = 457030^2 + 55889^2 .

It is a cyclic number.

It is not a de Polignac number, because 212000001221 - 234 = 194820132037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212000001821) 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, 106000000610 + 106000000611.

It is an arithmetic number, because the mean of its divisors is an integer number (106000000611).

Almost surely, 2212000001221 is an apocalyptic number.

It is an amenable number.

212000001221 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000001221 is an equidigital number, since it uses as much as digits as its factorization.

212000001221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212000001221 its reverse (122100000212), we get a palindrome (334100001433).

The spelling of 212000001221 in words is "two hundred twelve billion, one thousand, two hundred twenty-one".