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212122331212241 is a prime number
BaseRepresentation
bin110000001110110010010100…
…001100110110100111010001
31000211001200210222110121212102
4300032302110030312213101
5210300403013242242431
62031051353110010145
762452222053431552
oct6016622414664721
91024050728417772
10212122331212241
1161652636a5155a
121b95a88b646955
139149085b18948
143a54ac03c0329
15197cbc694edcb
hexc0ec943369d1

212122331212241 has 2 divisors, whose sum is σ = 212122331212242. Its totient is φ = 212122331212240.

The previous prime is 212122331212213. The next prime is 212122331212283. The reversal of 212122331212241 is 142212133221212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125343250662400 + 86779080549841 = 11195680^2 + 9315529^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212122331212241 is a prime.

It is not a weakly prime, because it can be changed into another prime (212122331212741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061165606120 + 106061165606121.

It is an arithmetic number, because the mean of its divisors is an integer number (106061165606121).

Almost surely, 2212122331212241 is an apocalyptic number.

It is an amenable number.

212122331212241 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122331212241 is an equidigital number, since it uses as much as digits as its factorization.

212122331212241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4608, while the sum is 29.

Adding to 212122331212241 its reverse (142212133221212), we get a palindrome (354334464433453).

The spelling of 212122331212241 in words is "two hundred twelve trillion, one hundred twenty-two billion, three hundred thirty-one million, two hundred twelve thousand, two hundred forty-one".