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211011330031301 is a prime number
BaseRepresentation
bin101111111110100111100111…
…010111101011111011000101
31000200010111010101201221221202
4233332213213113223323011
5210124202200442000201
62024441133342552245
762306031316262312
oct5776474727537305
91020114111657852
10211011330031301
1161264447826498
121b7bb4ab598685
13909838aac1667
143a17007c19d09
15195dd50279c6b
hexbfe9e75ebec5

211011330031301 has 2 divisors, whose sum is σ = 211011330031302. Its totient is φ = 211011330031300.

The previous prime is 211011330031283. The next prime is 211011330031303. The reversal of 211011330031301 is 103130033110112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 147427435480900 + 63583894550401 = 12141970^2 + 7973951^2 .

It is a cyclic number.

It is not a de Polignac number, because 211011330031301 - 26 = 211011330031237 is a prime.

It is a super-3 number, since 3×2110113300313013 (a number of 44 digits) contains 333 as substring.

Together with 211011330031303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211011330031303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105505665015650 + 105505665015651.

It is an arithmetic number, because the mean of its divisors is an integer number (105505665015651).

Almost surely, 2211011330031301 is an apocalyptic number.

It is an amenable number.

211011330031301 is a deficient number, since it is larger than the sum of its proper divisors (1).

211011330031301 is an equidigital number, since it uses as much as digits as its factorization.

211011330031301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 211011330031301 its reverse (103130033110112), we get a palindrome (314141363141413).

The spelling of 211011330031301 in words is "two hundred eleven trillion, eleven billion, three hundred thirty million, thirty-one thousand, three hundred one".