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442440400220201 is a prime number
BaseRepresentation
bin110010010011001011010111…
…0111000111011000000101001
32011000112220000012202011211002
41210212112232320323000221
5430442420414424021301
64204554151445244345
7162123156366425615
oct14446265670730051
92130486005664732
10442440400220201
11118a7aa13588289
1241757ab6a036b5
1315cb4c48958046
147b38330164345
153623d5441216b
hex19265aee3b029

442440400220201 has 2 divisors, whose sum is σ = 442440400220202. Its totient is φ = 442440400220200.

The previous prime is 442440400220197. The next prime is 442440400220267. The reversal of 442440400220201 is 102022004044244.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 363082163731225 + 79358236488976 = 19054715^2 + 8908324^2 .

It is a cyclic number.

It is not a de Polignac number, because 442440400220201 - 22 = 442440400220197 is a prime.

It is not a weakly prime, because it can be changed into another prime (442440400222201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221220200110100 + 221220200110101.

It is an arithmetic number, because the mean of its divisors is an integer number (221220200110101).

Almost surely, 2442440400220201 is an apocalyptic number.

It is an amenable number.

442440400220201 is a deficient number, since it is larger than the sum of its proper divisors (1).

442440400220201 is an equidigital number, since it uses as much as digits as its factorization.

442440400220201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 442440400220201 its reverse (102022004044244), we get a palindrome (544462404264445).

The spelling of 442440400220201 in words is "four hundred forty-two trillion, four hundred forty billion, four hundred million, two hundred twenty thousand, two hundred one".