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211020313331 is a prime number
BaseRepresentation
bin1100010010000111001…
…0100111001011110011
3202011200100221121101102
43010201302213023303
511424132200011311
6240535201355015
721150165032252
oct3044162471363
9664610847342
10211020313331
1181547513773
1234a92338a6b
1316b8c509739
14a2db95c799
155750bc743b
hex3121ca72f3

211020313331 has 2 divisors, whose sum is σ = 211020313332. Its totient is φ = 211020313330.

The previous prime is 211020313271. The next prime is 211020313349. The reversal of 211020313331 is 133313020112.

211020313331 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 is a cyclic number.

It is not a de Polignac number, because 211020313331 - 214 = 211020296947 is a prime.

It is a super-2 number, since 2×2110203133312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211020318331) 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, 105510156665 + 105510156666.

It is an arithmetic number, because the mean of its divisors is an integer number (105510156666).

Almost surely, 2211020313331 is an apocalyptic number.

211020313331 is a deficient number, since it is larger than the sum of its proper divisors (1).

211020313331 is an equidigital number, since it uses as much as digits as its factorization.

211020313331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 211020313331 its reverse (133313020112), we get a palindrome (344333333443).

The spelling of 211020313331 in words is "two hundred eleven billion, twenty million, three hundred thirteen thousand, three hundred thirty-one".