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211222011101 is a prime number
BaseRepresentation
bin1100010010110111010…
…0000001110011011101
3202012012102110220201012
43010231310001303131
511430040313323401
6241011204425005
721155164320353
oct3045564016335
9665172426635
10211222011101
1181640356242
1234b299a8165
1316bc223972a
14a31a6637d3
1557637698bb
hex312dd01cdd

211222011101 has 2 divisors, whose sum is σ = 211222011102. Its totient is φ = 211222011100.

The previous prime is 211222011079. The next prime is 211222011127. The reversal of 211222011101 is 101110222112.

211222011101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 170730108025 + 40491903076 = 413195^2 + 201226^2 .

It is a cyclic number.

It is not a de Polignac number, because 211222011101 - 214 = 211221994717 is a prime.

It is a super-2 number, since 2×2112220111012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211222011131) 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, 105611005550 + 105611005551.

It is an arithmetic number, because the mean of its divisors is an integer number (105611005551).

Almost surely, 2211222011101 is an apocalyptic number.

It is an amenable number.

211222011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211222011101 is an equidigital number, since it uses as much as digits as its factorization.

211222011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211222011101 its reverse (101110222112), we get a palindrome (312332233213).

It can be divided in two parts, 211222011 and 101, that added together give a palindrome (211222112).

The spelling of 211222011101 in words is "two hundred eleven billion, two hundred twenty-two million, eleven thousand, one hundred one".