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211312223029 is a prime number
BaseRepresentation
bin1100010011001100110…
…0001010001100110101
3202012102201020011012201
43010303030022030311
511430231412114104
6241024150144501
721160341155035
oct3046314121465
9665381204181
10211312223029
1181687271856
1234b54052131
1316c07b33c7b
14a3286278c5
15576b6390a4
hex313330a335

211312223029 has 2 divisors, whose sum is σ = 211312223030. Its totient is φ = 211312223028.

The previous prime is 211312223027. The next prime is 211312223033. The reversal of 211312223029 is 920322213112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 172748296900 + 38563926129 = 415630^2 + 196377^2 .

It is a cyclic number.

It is not a de Polignac number, because 211312223029 - 21 = 211312223027 is a prime.

Together with 211312223027, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 211312222988 and 211312223006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211312223027) 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, 105656111514 + 105656111515.

It is an arithmetic number, because the mean of its divisors is an integer number (105656111515).

Almost surely, 2211312223029 is an apocalyptic number.

It is an amenable number.

211312223029 is a deficient number, since it is larger than the sum of its proper divisors (1).

211312223029 is an equidigital number, since it uses as much as digits as its factorization.

211312223029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 211312223029 in words is "two hundred eleven billion, three hundred twelve million, two hundred twenty-three thousand, twenty-nine".