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211431414349 is a prime number
BaseRepresentation
bin1100010011101001001…
…0110101101001001101
3202012202000111200222001
43010322102311221031
511431002420224344
6241044044552301
721163316240431
oct3047222655115
9665660450861
10211431414349
1181738580a81
1234b87b52691
1316c26736a8c
14a33a3b29c1
155776d2eed4
hex313a4b5a4d

211431414349 has 2 divisors, whose sum is σ = 211431414350. Its totient is φ = 211431414348.

The previous prime is 211431414331. The next prime is 211431414353. The reversal of 211431414349 is 943414134112.

211431414349 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., 175669956900 + 35761457449 = 419130^2 + 189107^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211431414349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211431424349) 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, 105715707174 + 105715707175.

It is an arithmetic number, because the mean of its divisors is an integer number (105715707175).

Almost surely, 2211431414349 is an apocalyptic number.

It is an amenable number.

211431414349 is a deficient number, since it is larger than the sum of its proper divisors (1).

211431414349 is an equidigital number, since it uses as much as digits as its factorization.

211431414349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41472, while the sum is 37.

The spelling of 211431414349 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred fourteen thousand, three hundred forty-nine".