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21332146417 is a prime number
BaseRepresentation
bin10011110111011111…
…101011100011110001
32001001200012022120221
4103313133223203301
5322142012141132
613444433533041
71353426152461
oct236737534361
961050168527
1021332146417
11905749337a
124174114181
13201c68985a
1410651b3ba1
1584cbaae97
hex4f77eb8f1

21332146417 has 2 divisors, whose sum is σ = 21332146418. Its totient is φ = 21332146416.

The previous prime is 21332146403. The next prime is 21332146483. The reversal of 21332146417 is 71464123312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12375227536 + 8956918881 = 111244^2 + 94641^2 .

It is a cyclic number.

It is not a de Polignac number, because 21332146417 - 231 = 19184662769 is a prime.

It is not a weakly prime, because it can be changed into another prime (21332146487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10666073208 + 10666073209.

It is an arithmetic number, because the mean of its divisors is an integer number (10666073209).

Almost surely, 221332146417 is an apocalyptic number.

It is an amenable number.

21332146417 is a deficient number, since it is larger than the sum of its proper divisors (1).

21332146417 is an equidigital number, since it uses as much as digits as its factorization.

21332146417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 34.

Adding to 21332146417 its reverse (71464123312), we get a palindrome (92796269729).

The spelling of 21332146417 in words is "twenty-one billion, three hundred thirty-two million, one hundred forty-six thousand, four hundred seventeen".