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442122233301401 is a prime number
BaseRepresentation
bin110010010000110111001101…
…0101010011100100110011001
32010222102110202121120001111112
41210201232122222130212121
5430422212313211121101
64204152052224110105
7162061164045304352
oct14441563252344631
92128373677501445
10442122233301401
11118967a93661004
1241706301465335
1315c90c42155153
147b26b8a384d29
15361a931dc76bb
hex1921b9aa9c999

442122233301401 has 2 divisors, whose sum is σ = 442122233301402. Its totient is φ = 442122233301400.

The previous prime is 442122233301389. The next prime is 442122233301407. The reversal of 442122233301401 is 104103332221244.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 382065623157001 + 60056610144400 = 19546499^2 + 7749620^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442122233301401 is a prime.

It is a super-3 number, since 3×4421222333014013 (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (442122233301407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221061116650700 + 221061116650701.

It is an arithmetic number, because the mean of its divisors is an integer number (221061116650701).

Almost surely, 2442122233301401 is an apocalyptic number.

It is an amenable number.

442122233301401 is a deficient number, since it is larger than the sum of its proper divisors (1).

442122233301401 is an equidigital number, since it uses as much as digits as its factorization.

442122233301401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 442122233301401 its reverse (104103332221244), we get a palindrome (546225565522645).

The spelling of 442122233301401 in words is "four hundred forty-two trillion, one hundred twenty-two billion, two hundred thirty-three million, three hundred one thousand, four hundred one".