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442431100011337 is a prime number
BaseRepresentation
bin110010010011000111000010…
…0100011011100001101001001
32011000112000000001202121122221
41210212032010203130031021
5430442242343100330322
64204550012541414041
7162122410050105223
oct14446160443341511
92130460001677587
10442431100011337
11118a76a8088a758
124175614026a321
1315cb40c5c35b88
147b37acad23413
1536239acbd49c7
hex19263848dc349

442431100011337 has 2 divisors, whose sum is σ = 442431100011338. Its totient is φ = 442431100011336.

The previous prime is 442431100011331. The next prime is 442431100011389. The reversal of 442431100011337 is 733110001134244.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 253287988920576 + 189143111090761 = 15915024^2 + 13752931^2 .

It is a cyclic number.

It is not a de Polignac number, because 442431100011337 - 211 = 442431100009289 is a prime.

It is not a weakly prime, because it can be changed into another prime (442431100011331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221215550005668 + 221215550005669.

It is an arithmetic number, because the mean of its divisors is an integer number (221215550005669).

Almost surely, 2442431100011337 is an apocalyptic number.

It is an amenable number.

442431100011337 is a deficient number, since it is larger than the sum of its proper divisors (1).

442431100011337 is an equidigital number, since it uses as much as digits as its factorization.

442431100011337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 442431100011337 in words is "four hundred forty-two trillion, four hundred thirty-one billion, one hundred million, eleven thousand, three hundred thirty-seven".