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212213040113 is a prime number
BaseRepresentation
bin1100010110100011100…
…0100000001111110001
3202021202111021101221102
43011220320200033301
511434103014240423
6241253405534145
721221560035644
oct3055070401761
9667674241842
10212213040113
1181aa9801a88
1235165874355
131701c655529
14a3b2117a5b
1557c0777c28
hex3168e203f1

212213040113 has 2 divisors, whose sum is σ = 212213040114. Its totient is φ = 212213040112.

The previous prime is 212213040107. The next prime is 212213040161. The reversal of 212213040113 is 311040312212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210858211249 + 1354828864 = 459193^2 + 36808^2 .

It is a cyclic number.

It is not a de Polignac number, because 212213040113 - 228 = 211944604657 is a prime.

It is not a weakly prime, because it can be changed into another prime (212213040103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106106520056 + 106106520057.

It is an arithmetic number, because the mean of its divisors is an integer number (106106520057).

Almost surely, 2212213040113 is an apocalyptic number.

It is an amenable number.

212213040113 is a deficient number, since it is larger than the sum of its proper divisors (1).

212213040113 is an equidigital number, since it uses as much as digits as its factorization.

212213040113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 212213040113 its reverse (311040312212), we get a palindrome (523253352325).

The spelling of 212213040113 in words is "two hundred twelve billion, two hundred thirteen million, forty thousand, one hundred thirteen".