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212122331212213 is a prime number
BaseRepresentation
bin110000001110110010010100…
…001100110110100110110101
31000211001200210222110121211101
4300032302110030312212311
5210300403013242242323
62031051353110010101
762452222053431512
oct6016622414664665
91024050728417741
10212122331212213
1161652636a51534
121b95a88b646931
139149085b18926
143a54ac03c0309
15197cbc694edad
hexc0ec943369b5

212122331212213 has 2 divisors, whose sum is σ = 212122331212214. Its totient is φ = 212122331212212.

The previous prime is 212122331212139. The next prime is 212122331212241. The reversal of 212122331212213 is 312212133221212.

It is an a-pointer prime, because the next prime (212122331212241) can be obtained adding 212122331212213 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208157286509649 + 3965044702564 = 14427657^2 + 1991242^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212122331212213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212122331212283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061165606106 + 106061165606107.

It is an arithmetic number, because the mean of its divisors is an integer number (106061165606107).

Almost surely, 2212122331212213 is an apocalyptic number.

It is an amenable number.

212122331212213 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122331212213 is an equidigital number, since it uses as much as digits as its factorization.

212122331212213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 28.

Adding to 212122331212213 its reverse (312212133221212), we get a palindrome (524334464433425).

The spelling of 212122331212213 in words is "two hundred twelve trillion, one hundred twenty-two billion, three hundred thirty-one million, two hundred twelve thousand, two hundred thirteen".