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21221133301 is a prime number
BaseRepresentation
bin10011110000111000…
…001100101111110101
32000202221022021020001
4103300320030233311
5321430102231201
613425430311301
71350610441204
oct236070145765
960687267201
1021221133301
118aaa85a5a5
124142ab8531
13200268b314
14105455723b
1584307d301
hex4f0e0cbf5

21221133301 has 2 divisors, whose sum is σ = 21221133302. Its totient is φ = 21221133300.

The previous prime is 21221133299. The next prime is 21221133317. The reversal of 21221133301 is 10333112212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16628360401 + 4592772900 = 128951^2 + 67770^2 .

It is a cyclic number.

It is not a de Polignac number, because 21221133301 - 21 = 21221133299 is a prime.

It is a super-2 number, since 2×212211333012 (a number of 21 digits) contains 22 as substring.

Together with 21221133299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21221136301) 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, 10610566650 + 10610566651.

It is an arithmetic number, because the mean of its divisors is an integer number (10610566651).

Almost surely, 221221133301 is an apocalyptic number.

It is an amenable number.

21221133301 is a deficient number, since it is larger than the sum of its proper divisors (1).

21221133301 is an equidigital number, since it uses as much as digits as its factorization.

21221133301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 21221133301 its reverse (10333112212), we get a palindrome (31554245513).

The spelling of 21221133301 in words is "twenty-one billion, two hundred twenty-one million, one hundred thirty-three thousand, three hundred one".