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442101044201 is a prime number
BaseRepresentation
bin1100110111011110100…
…01101001001111101001
31120021010210010000022012
412123233101221033221
524220410331403301
6535033131405305
743640450605055
oct6335721511751
91507123100265
10442101044201
11160548572003
12718228b3835
13328c7a85b0b
141757d80cc65
15b777aa1ebb
hex66ef4693e9

442101044201 has 2 divisors, whose sum is σ = 442101044202. Its totient is φ = 442101044200.

The previous prime is 442101044191. The next prime is 442101044239. The reversal of 442101044201 is 102440101244.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 357722413801 + 84378630400 = 598099^2 + 290480^2 .

It is a cyclic number.

It is not a de Polignac number, because 442101044201 - 222 = 442096849897 is a prime.

It is a super-2 number, since 2×4421010442012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (442101040201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221050522100 + 221050522101.

It is an arithmetic number, because the mean of its divisors is an integer number (221050522101).

Almost surely, 2442101044201 is an apocalyptic number.

It is an amenable number.

442101044201 is a deficient number, since it is larger than the sum of its proper divisors (1).

442101044201 is an equidigital number, since it uses as much as digits as its factorization.

442101044201 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 442101044201 its reverse (102440101244), we get a palindrome (544541145445).

The spelling of 442101044201 in words is "four hundred forty-two billion, one hundred one million, forty-four thousand, two hundred one".