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213058289 is a prime number
BaseRepresentation
bin11001011001100…
…00001011110001
3112211220111000202
430230300023301
5414020331124
633050324545
75164652123
oct1454601361
9484814022
10213058289
11aa2a1934
125b429755
13351a9bc2
1420421213
1513a885ae
hexcb302f1

213058289 has 2 divisors, whose sum is σ = 213058290. Its totient is φ = 213058288.

The previous prime is 213058283. The next prime is 213058301. The reversal of 213058289 is 982850312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206209600 + 6848689 = 14360^2 + 2617^2 .

It is a cyclic number.

It is not a de Polignac number, because 213058289 - 28 = 213058033 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213058283) 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, 106529144 + 106529145.

It is an arithmetic number, because the mean of its divisors is an integer number (106529145).

Almost surely, 2213058289 is an apocalyptic number.

It is an amenable number.

213058289 is a deficient number, since it is larger than the sum of its proper divisors (1).

213058289 is an equidigital number, since it uses as much as digits as its factorization.

213058289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 213058289 is about 14596.5163309606. The cubic root of 213058289 is about 597.2637339009.

The spelling of 213058289 in words is "two hundred thirteen million, fifty-eight thousand, two hundred eighty-nine".