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212204237513 is a prime number
BaseRepresentation
bin1100010110100001011…
…0111011001011001001
3202021201212201012001012
43011220112323023021
511434043241100023
6241252453133305
721221422154252
oct3055026731311
9667655635035
10212204237513
1181aa483a504
123516292a235
131701a8929a8
14a3b0ca5b29
1557bead9978
hex31685bb2c9

212204237513 has 2 divisors, whose sum is σ = 212204237514. Its totient is φ = 212204237512.

The previous prime is 212204237491. The next prime is 212204237537. The reversal of 212204237513 is 315732402212.

212204237513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 168241889929 + 43962347584 = 410173^2 + 209672^2 .

It is a cyclic number.

It is not a de Polignac number, because 212204237513 - 224 = 212187460297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212204237513.

It is not a weakly prime, because it can be changed into another prime (212204237543) 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, 106102118756 + 106102118757.

It is an arithmetic number, because the mean of its divisors is an integer number (106102118757).

Almost surely, 2212204237513 is an apocalyptic number.

It is an amenable number.

212204237513 is a deficient number, since it is larger than the sum of its proper divisors (1).

212204237513 is an equidigital number, since it uses as much as digits as its factorization.

212204237513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 212204237513 its reverse (315732402212), we get a palindrome (527936639725).

The spelling of 212204237513 in words is "two hundred twelve billion, two hundred four million, two hundred thirty-seven thousand, five hundred thirteen".