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441221234401 is a prime number
BaseRepresentation
bin1100110101110101101…
…01011011111011100001
31120011212110121001011001
412122322311123323201
524212110114000101
6534405542152001
743606605416653
oct6327265337341
91504773531131
10441221234401
1116013697a972
1271618122601
13327b770b2bc
14174d8a2a6d3
15b725712901
hex66bad5bee1

441221234401 has 2 divisors, whose sum is σ = 441221234402. Its totient is φ = 441221234400.

The previous prime is 441221234347. The next prime is 441221234407. The reversal of 441221234401 is 104432122144.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287243474401 + 153977760000 = 535951^2 + 392400^2 .

It is a cyclic number.

It is not a de Polignac number, because 441221234401 - 219 = 441220710113 is a prime.

It is a super-3 number, since 3×4412212344013 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 441221234401.

It is not a weakly prime, because it can be changed into another prime (441221234407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220610617200 + 220610617201.

It is an arithmetic number, because the mean of its divisors is an integer number (220610617201).

Almost surely, 2441221234401 is an apocalyptic number.

It is an amenable number.

441221234401 is a deficient number, since it is larger than the sum of its proper divisors (1).

441221234401 is an equidigital number, since it uses as much as digits as its factorization.

441221234401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 441221234401 its reverse (104432122144), we get a palindrome (545653356545).

The spelling of 441221234401 in words is "four hundred forty-one billion, two hundred twenty-one million, two hundred thirty-four thousand, four hundred one".