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211113331321 is a prime number
BaseRepresentation
bin1100010010011101010…
…1011100101001111001
3202011220211222102002011
43010213111130221321
511424330003100241
6240552323205521
721152404464604
oct3044725345171
9664824872064
10211113331321
1181594a76542
1234ab95168a1
1316ba5877279
14a30a05333b
155758e4d281
hex312755ca79

211113331321 has 2 divisors, whose sum is σ = 211113331322. Its totient is φ = 211113331320.

The previous prime is 211113331309. The next prime is 211113331333. The reversal of 211113331321 is 123133311112.

It is a balanced prime because it is at equal distance from previous prime (211113331309) and next prime (211113331333).

It can be written as a sum of positive squares in only one way, i.e., 194182116921 + 16931214400 = 440661^2 + 130120^2 .

It is a cyclic number.

It is not a de Polignac number, because 211113331321 - 29 = 211113330809 is a prime.

It is a super-2 number, since 2×2111133313212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211113331292 and 211113331301.

It is not a weakly prime, because it can be changed into another prime (211113331361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105556665660 + 105556665661.

It is an arithmetic number, because the mean of its divisors is an integer number (105556665661).

Almost surely, 2211113331321 is an apocalyptic number.

It is an amenable number.

211113331321 is a deficient number, since it is larger than the sum of its proper divisors (1).

211113331321 is an equidigital number, since it uses as much as digits as its factorization.

211113331321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 22.

Adding to 211113331321 its reverse (123133311112), we get a palindrome (334246642433).

The spelling of 211113331321 in words is "two hundred eleven billion, one hundred thirteen million, three hundred thirty-one thousand, three hundred twenty-one".