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212021022133 is a prime number
BaseRepresentation
bin1100010101110101110…
…0000000110110110101
3202021021002221212210101
43011131130000312311
511433204340202013
6241222350154101
721214035644524
oct3053534006665
9667232855711
10212021022133
1181a10381038
12351114b2931
1316cbb93441b
14a3948124bb
1557ad9988dd
hex315d700db5

212021022133 has 2 divisors, whose sum is σ = 212021022134. Its totient is φ = 212021022132.

The previous prime is 212021022113. The next prime is 212021022181. The reversal of 212021022133 is 331220120212.

212021022133 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., 109837227889 + 102183794244 = 331417^2 + 319662^2 .

It is a cyclic number.

It is not a de Polignac number, because 212021022133 - 29 = 212021021621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212021022133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212021022113) 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, 106010511066 + 106010511067.

It is an arithmetic number, because the mean of its divisors is an integer number (106010511067).

Almost surely, 2212021022133 is an apocalyptic number.

It is an amenable number.

212021022133 is a deficient number, since it is larger than the sum of its proper divisors (1).

212021022133 is an equidigital number, since it uses as much as digits as its factorization.

212021022133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 212021022133 its reverse (331220120212), we get a palindrome (543241142345).

The spelling of 212021022133 in words is "two hundred twelve billion, twenty-one million, twenty-two thousand, one hundred thirty-three".