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211312223033 is a prime number
BaseRepresentation
bin1100010011001100110…
…0001010001100111001
3202012102201020011012212
43010303030022030321
511430231412114113
6241024150144505
721160341155042
oct3046314121471
9665381204185
10211312223033
118168727185a
1234b54052135
1316c07b33c82
14a3286278c9
15576b6390a8
hex313330a339

211312223033 has 2 divisors, whose sum is σ = 211312223034. Its totient is φ = 211312223032.

The previous prime is 211312223029. The next prime is 211312223041. The reversal of 211312223033 is 330322213112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 161742317584 + 49569905449 = 402172^2 + 222643^2 .

It is a cyclic number.

It is not a de Polignac number, because 211312223033 - 22 = 211312223029 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 (211312213033) 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, 105656111516 + 105656111517.

It is an arithmetic number, because the mean of its divisors is an integer number (105656111517).

Almost surely, 2211312223033 is an apocalyptic number.

It is an amenable number.

211312223033 is a deficient number, since it is larger than the sum of its proper divisors (1).

211312223033 is an equidigital number, since it uses as much as digits as its factorization.

211312223033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 211312223033 its reverse (330322213112), we get a palindrome (541634436145).

The spelling of 211312223033 in words is "two hundred eleven billion, three hundred twelve million, two hundred twenty-three thousand, thirty-three".