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211022313349 is a prime number
BaseRepresentation
bin1100010010000111101…
…0001111011110000101
3202011200111201012220011
43010201322033132011
511424133203011344
6240535312310221
721150221032231
oct3044172173605
9664614635804
10211022313349
118154865a381
1234a92b42371
1316b8ca59b93
14a2dbd1d5c1
155750e6ed34
hex3121e8f785

211022313349 has 2 divisors, whose sum is σ = 211022313350. Its totient is φ = 211022313348.

The previous prime is 211022313311. The next prime is 211022313353. The reversal of 211022313349 is 943313220112.

It is a happy number.

211022313349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203594976225 + 7427337124 = 451215^2 + 86182^2 .

It is a cyclic number.

It is not a de Polignac number, because 211022313349 - 27 = 211022313221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211022313349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211022310349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105511156674 + 105511156675.

It is an arithmetic number, because the mean of its divisors is an integer number (105511156675).

Almost surely, 2211022313349 is an apocalyptic number.

It is an amenable number.

211022313349 is a deficient number, since it is larger than the sum of its proper divisors (1).

211022313349 is an equidigital number, since it uses as much as digits as its factorization.

211022313349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 211022313349 in words is "two hundred eleven billion, twenty-two million, three hundred thirteen thousand, three hundred forty-nine".