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213113212289 is a prime number
BaseRepresentation
bin1100011001111010001…
…0011000110110000001
3202101002020002220000122
43012132202120312001
511442423440243124
6241523003430025
721253100262425
oct3063642306601
9671066086018
10213113212289
118242094172a
1235377225315
1317133cac3a3
14a4598bab85
1558247da75e
hex319e898d81

213113212289 has 2 divisors, whose sum is σ = 213113212290. Its totient is φ = 213113212288.

The previous prime is 213113212261. The next prime is 213113212357. The reversal of 213113212289 is 982212311312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191021443600 + 22091768689 = 437060^2 + 148633^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213113212289 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (213113212189) 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, 106556606144 + 106556606145.

It is an arithmetic number, because the mean of its divisors is an integer number (106556606145).

Almost surely, 2213113212289 is an apocalyptic number.

It is an amenable number.

213113212289 is a deficient number, since it is larger than the sum of its proper divisors (1).

213113212289 is an equidigital number, since it uses as much as digits as its factorization.

213113212289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 35.

The spelling of 213113212289 in words is "two hundred thirteen billion, one hundred thirteen million, two hundred twelve thousand, two hundred eighty-nine".