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211431433313 is a prime number
BaseRepresentation
bin1100010011101001001…
…0111010010001100001
3202012202000112122222102
43010322102322101201
511431002421331223
6241044045220145
721163316346632
oct3047222722141
9665660478872
10211431433313
1181738594251
1234b87b61655
1316c267425b9
14a33a3b9889
155776d35928
hex313a4ba461

211431433313 has 2 divisors, whose sum is σ = 211431433314. Its totient is φ = 211431433312.

The previous prime is 211431433273. The next prime is 211431433319. The reversal of 211431433313 is 313334134112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 187239674944 + 24191758369 = 432712^2 + 155537^2 .

It is a cyclic number.

It is not a de Polignac number, because 211431433313 - 214 = 211431416929 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 (211431433319) 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, 105715716656 + 105715716657.

It is an arithmetic number, because the mean of its divisors is an integer number (105715716657).

Almost surely, 2211431433313 is an apocalyptic number.

It is an amenable number.

211431433313 is a deficient number, since it is larger than the sum of its proper divisors (1).

211431433313 is an equidigital number, since it uses as much as digits as its factorization.

211431433313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 29.

Adding to 211431433313 its reverse (313334134112), we get a palindrome (524765567425).

The spelling of 211431433313 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred thirty-three thousand, three hundred thirteen".