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212013123317 is a prime number
BaseRepresentation
bin1100010101110011110…
…1111000011011110101
3202021020120002120122122
43011130331320123311
511433200324421232
6241221505005325
721213611546102
oct3053475703365
9667216076578
10212013123317
1181a06976596
123510a923845
1316cba0ca078
14a393757aa9
1557ace38312
hex315cf786f5

212013123317 has 2 divisors, whose sum is σ = 212013123318. Its totient is φ = 212013123316.

The previous prime is 212013123239. The next prime is 212013123319. The reversal of 212013123317 is 713321310212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136194950116 + 75818173201 = 369046^2 + 275351^2 .

It is a cyclic number.

It is not a de Polignac number, because 212013123317 - 220 = 212012074741 is a prime.

Together with 212013123319, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212013123319) 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, 106006561658 + 106006561659.

It is an arithmetic number, because the mean of its divisors is an integer number (106006561659).

Almost surely, 2212013123317 is an apocalyptic number.

It is an amenable number.

212013123317 is a deficient number, since it is larger than the sum of its proper divisors (1).

212013123317 is an equidigital number, since it uses as much as digits as its factorization.

212013123317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 212013123317 its reverse (713321310212), we get a palindrome (925334433529).

The spelling of 212013123317 in words is "two hundred twelve billion, thirteen million, one hundred twenty-three thousand, three hundred seventeen".