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212213310013 is a prime number
BaseRepresentation
bin1100010110100011100…
…1100010001000111101
3202021202111210010011201
43011220321202020331
511434103101410023
6241253415415501
721221562241555
oct3055071421075
9667674703151
10212213310013
1181aa9976841
1235165984591
131701c71b333
14a3b2188165
1557c07ccbad
hex3168e6223d

212213310013 has 2 divisors, whose sum is σ = 212213310014. Its totient is φ = 212213310012.

The previous prime is 212213310007. The next prime is 212213310053. The reversal of 212213310013 is 310013312212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203327042724 + 8886267289 = 450918^2 + 94267^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212213310013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212213310053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106106655006 + 106106655007.

It is an arithmetic number, because the mean of its divisors is an integer number (106106655007).

Almost surely, 2212213310013 is an apocalyptic number.

It is an amenable number.

212213310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212213310013 is an equidigital number, since it uses as much as digits as its factorization.

212213310013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 212213310013 its reverse (310013312212), we get a palindrome (522226622225).

The spelling of 212213310013 in words is "two hundred twelve billion, two hundred thirteen million, three hundred ten thousand, thirteen".