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211300221329 is a prime number
BaseRepresentation
bin1100010011001001111…
…0011000000110010001
3202012101212122101222022
43010302132120012101
511430220324040304
6241023041021225
721160134150461
oct3046236300621
9665355571868
10211300221329
118168051479a
1234b50024815
1316c054c1282
14a326bc1ba1
15576a567ebe
hex3132798191

211300221329 has 2 divisors, whose sum is σ = 211300221330. Its totient is φ = 211300221328.

The previous prime is 211300221281. The next prime is 211300221331. The reversal of 211300221329 is 923122003112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 147035436304 + 64264785025 = 383452^2 + 253505^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211300221329 is a prime.

Together with 211300221331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 211300221298 and 211300221307.

It is not a weakly prime, because it can be changed into another prime (211300221029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105650110664 + 105650110665.

It is an arithmetic number, because the mean of its divisors is an integer number (105650110665).

Almost surely, 2211300221329 is an apocalyptic number.

It is an amenable number.

211300221329 is a deficient number, since it is larger than the sum of its proper divisors (1).

211300221329 is an equidigital number, since it uses as much as digits as its factorization.

211300221329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 211300221329 in words is "two hundred eleven billion, three hundred million, two hundred twenty-one thousand, three hundred twenty-nine".