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213306113 is a prime number
BaseRepresentation
bin11001011011011…
…00101100000001
3112212101001222102
430231230230001
5414101243423
633055520145
75200033466
oct1455545401
9485331872
10213306113
11aa451049
125b529055
1335265947
142048766d
1513ad6c28
hexcb6cb01

213306113 has 2 divisors, whose sum is σ = 213306114. Its totient is φ = 213306112.

The previous prime is 213306077. The next prime is 213306131. The reversal of 213306113 is 311603312.

It is a happy number.

Together with next prime (213306131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212955649 + 350464 = 14593^2 + 592^2 .

It is a cyclic number.

It is not a de Polignac number, because 213306113 - 28 = 213305857 is a prime.

It is not a weakly prime, because it can be changed into another prime (213306173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106653056 + 106653057.

It is an arithmetic number, because the mean of its divisors is an integer number (106653057).

Almost surely, 2213306113 is an apocalyptic number.

It is an amenable number.

213306113 is a deficient number, since it is larger than the sum of its proper divisors (1).

213306113 is an equidigital number, since it uses as much as digits as its factorization.

213306113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 213306113 is about 14605.0030126666. The cubic root of 213306113 is about 597.4952181827.

Adding to 213306113 its reverse (311603312), we get a palindrome (524909425).

The spelling of 213306113 in words is "two hundred thirteen million, three hundred six thousand, one hundred thirteen".