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404223111221 is a prime number
BaseRepresentation
bin1011110000111011001…
…00110011000000110101
31102122101000002122111112
411320131210303000311
523110322104024341
6505410400044405
741130011516426
oct5703544630065
91378330078445
10404223111221
11146480454366
1266411603705
132c16c549617
14157c8dd364d
15a7ac540aeb
hex5e1d933035

404223111221 has 2 divisors, whose sum is σ = 404223111222. Its totient is φ = 404223111220.

The previous prime is 404223111151. The next prime is 404223111223. The reversal of 404223111221 is 122111322404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 356617980625 + 47605130596 = 597175^2 + 218186^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-404223111221 is a prime.

It is a super-2 number, since 2×4042231112212 (a number of 24 digits) contains 22 as substring.

Together with 404223111223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404223111223) 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, 202111555610 + 202111555611.

It is an arithmetic number, because the mean of its divisors is an integer number (202111555611).

Almost surely, 2404223111221 is an apocalyptic number.

It is an amenable number.

404223111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

404223111221 is an equidigital number, since it uses as much as digits as its factorization.

404223111221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 404223111221 its reverse (122111322404), we get a palindrome (526334433625).

The spelling of 404223111221 in words is "four hundred four billion, two hundred twenty-three million, one hundred eleven thousand, two hundred twenty-one".