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21122211301 is a prime number
BaseRepresentation
bin10011101010111110…
…110101110111100101
32000112001011111202021
4103222332311313211
5321224241230201
613411534143141
71345266555652
oct235276656745
960461144667
1021122211301
118a59a34a84
124115951ab1
131cb80343a9
141045366c29
1583953cea1
hex4eafb5de5

21122211301 has 2 divisors, whose sum is σ = 21122211302. Its totient is φ = 21122211300.

The previous prime is 21122211283. The next prime is 21122211307. The reversal of 21122211301 is 10311222112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17849227201 + 3272984100 = 133601^2 + 57210^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122211301 - 229 = 20585340389 is a prime.

It is a super-2 number, since 2×211222113012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21122211307) 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, 10561105650 + 10561105651.

It is an arithmetic number, because the mean of its divisors is an integer number (10561105651).

Almost surely, 221122211301 is an apocalyptic number.

It is an amenable number.

21122211301 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122211301 is an equidigital number, since it uses as much as digits as its factorization.

21122211301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 21122211301 its reverse (10311222112), we get a palindrome (31433433413).

The spelling of 21122211301 in words is "twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, three hundred one".