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2122122212213 is a prime number
BaseRepresentation
bin11110111000011000010…
…101110011001101110101
321111212120100100000022212
4132320120111303031311
5234232101241242323
64302520043503205
7306214111116053
oct36703025631565
97455510300285
102122122212213
11748a947353a3
122a3346527b05
131251663158c3
14749d59c51d3
153a304436b78
hex1ee18573375

2122122212213 has 2 divisors, whose sum is σ = 2122122212214. Its totient is φ = 2122122212212.

The previous prime is 2122122212209. The next prime is 2122122212279. The reversal of 2122122212213 is 3122122212212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1338688338289 + 783433873924 = 1157017^2 + 885118^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122122212213 - 22 = 2122122212209 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122122212813) 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, 1061061106106 + 1061061106107.

It is an arithmetic number, because the mean of its divisors is an integer number (1061061106107).

Almost surely, 22122122212213 is an apocalyptic number.

It is an amenable number.

2122122212213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122122212213 is an equidigital number, since it uses as much as digits as its factorization.

2122122212213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 768, while the sum is 23.

Adding to 2122122212213 its reverse (3122122212212), we get a palindrome (5244244424425).

Subtracting 2122122212213 from its reverse (3122122212212), we obtain a palindrome (999999999999).

The spelling of 2122122212213 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, two hundred thirteen".