Search a number
-
+
212213744201 is a prime number
BaseRepresentation
bin1100010110100011101…
…1001100001001001001
3202021202112121011202202
43011220323030021021
511434103204303301
6241253433005545
721221566030454
oct3055073141111
9667675534682
10212213744201
1181aaa142a78
1235165b538b5
131701c840b54
14a3b225c49b
1557c086666b
hex3168ecc249

212213744201 has 2 divisors, whose sum is σ = 212213744202. Its totient is φ = 212213744200.

The previous prime is 212213744117. The next prime is 212213744203. The reversal of 212213744201 is 102447312212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212120119225 + 93624976 = 460565^2 + 9676^2 .

It is a cyclic number.

It is not a de Polignac number, because 212213744201 - 222 = 212209549897 is a prime.

It is a super-2 number, since 2×2122137442012 (a number of 23 digits) contains 22 as substring.

Together with 212213744203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (212213744203) 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, 106106872100 + 106106872101.

It is an arithmetic number, because the mean of its divisors is an integer number (106106872101).

Almost surely, 2212213744201 is an apocalyptic number.

It is an amenable number.

212213744201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212213744201 is an equidigital number, since it uses as much as digits as its factorization.

212213744201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 212213744201 in words is "two hundred twelve billion, two hundred thirteen million, seven hundred forty-four thousand, two hundred one".