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442213013201 is a prime number
BaseRepresentation
bin1100110111101011111…
…00110001011011010001
31120021102120210121220012
412123311330301123101
524221123012410301
6535052211324305
743643310410231
oct6336574613321
91507376717805
10442213013201
111605a5798a73
12718542b0695
133291502a46b
1417590637cc1
15b78281cebb
hex66f5f316d1

442213013201 has 2 divisors, whose sum is σ = 442213013202. Its totient is φ = 442213013200.

The previous prime is 442213013191. The next prime is 442213013279. The reversal of 442213013201 is 102310312244.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 279416902801 + 162796110400 = 528599^2 + 403480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442213013201 is a prime.

It is not a weakly prime, because it can be changed into another prime (442213013101) 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, 221106506600 + 221106506601.

It is an arithmetic number, because the mean of its divisors is an integer number (221106506601).

Almost surely, 2442213013201 is an apocalyptic number.

It is an amenable number.

442213013201 is a deficient number, since it is larger than the sum of its proper divisors (1).

442213013201 is an equidigital number, since it uses as much as digits as its factorization.

442213013201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 442213013201 its reverse (102310312244), we get a palindrome (544523325445).

The spelling of 442213013201 in words is "four hundred forty-two billion, two hundred thirteen million, thirteen thousand, two hundred one".