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212122022201 is a prime number
BaseRepresentation
bin1100010110001101110…
…1010011000100111001
3202021112011000012211122
43011203131103010321
511433411214202301
6241240355035025
721216403303415
oct3054335230471
9667464005748
10212122022201
1181a62395971
123513b29ba75
131700683818b
14a3a3dc3d45
1557b779981b
hex3163753139

212122022201 has 2 divisors, whose sum is σ = 212122022202. Its totient is φ = 212122022200.

The previous prime is 212122022131. The next prime is 212122022207. The reversal of 212122022201 is 102220221212.

It is a happy number.

212122022201 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., 201170190400 + 10951831801 = 448520^2 + 104651^2 .

It is a cyclic number.

It is not a de Polignac number, because 212122022201 - 214 = 212122005817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212122022201.

It is not a weakly prime, because it can be changed into another prime (212122022207) 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, 106061011100 + 106061011101.

It is an arithmetic number, because the mean of its divisors is an integer number (106061011101).

Almost surely, 2212122022201 is an apocalyptic number.

It is an amenable number.

212122022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122022201 is an equidigital number, since it uses as much as digits as its factorization.

212122022201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212122022201 its reverse (102220221212), we get a palindrome (314342243413).

The spelling of 212122022201 in words is "two hundred twelve billion, one hundred twenty-two million, twenty-two thousand, two hundred one".