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221212440401 is a prime number
BaseRepresentation
bin1100111000000101001…
…0011111011101010001
3210010222200020022022012
43032001102133131101
512111020341043101
6245342410152305
721660564501401
oct3160122373521
9703880208265
10221212440401
11858a7723687
1236a57722695
1317b24c55864
14a9c7414801
155b4a886bbb
hex338149f751

221212440401 has 2 divisors, whose sum is σ = 221212440402. Its totient is φ = 221212440400.

The previous prime is 221212440359. The next prime is 221212440469. The reversal of 221212440401 is 104044212122.

221212440401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217472995600 + 3739444801 = 466340^2 + 61151^2 .

It is a cyclic number.

It is not a de Polignac number, because 221212440401 - 222 = 221208246097 is a prime.

It is not a weakly prime, because it can be changed into another prime (221212440601) 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, 110606220200 + 110606220201.

It is an arithmetic number, because the mean of its divisors is an integer number (110606220201).

Almost surely, 2221212440401 is an apocalyptic number.

It is an amenable number.

221212440401 is a deficient number, since it is larger than the sum of its proper divisors (1).

221212440401 is an equidigital number, since it uses as much as digits as its factorization.

221212440401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 221212440401 its reverse (104044212122), we get a palindrome (325256652523).

The spelling of 221212440401 in words is "two hundred twenty-one billion, two hundred twelve million, four hundred forty thousand, four hundred one".