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211220220301 is a prime number
BaseRepresentation
bin1100010010110110110…
…1001100100110001101
3202012012022002221012021
43010231231030212031
511430034334022201
6241011102210141
721155143151356
oct3045555144615
9665168087167
10211220220301
118163a342842
1234b29283951
1316bc1a6059c
14a31a318d2d
155763513ea1
hex312db4c98d

211220220301 has 2 divisors, whose sum is σ = 211220220302. Its totient is φ = 211220220300.

The previous prime is 211220220287. The next prime is 211220220313. The reversal of 211220220301 is 103022022112.

It is a happy number.

211220220301 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 can be written as a sum of positive squares in only one way, i.e., 179882015625 + 31338204676 = 424125^2 + 177026^2 .

It is a cyclic number.

It is not a de Polignac number, because 211220220301 - 27 = 211220220173 is a prime.

It is a super-2 number, since 2×2112202203012 (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 (211220220371) 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, 105610110150 + 105610110151.

It is an arithmetic number, because the mean of its divisors is an integer number (105610110151).

Almost surely, 2211220220301 is an apocalyptic number.

It is an amenable number.

211220220301 is a deficient number, since it is larger than the sum of its proper divisors (1).

211220220301 is an equidigital number, since it uses as much as digits as its factorization.

211220220301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 211220220301 its reverse (103022022112), we get a palindrome (314242242413).

The spelling of 211220220301 in words is "two hundred eleven billion, two hundred twenty million, two hundred twenty thousand, three hundred one".