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2442303201361 is a prime number
BaseRepresentation
bin100011100010100100100…
…111010110000001010001
322122111000022100111202111
4203202210213112001101
5310003314104420421
65105551213345321
7341310356453452
oct43424447260121
98574008314674
102442303201361
11861858539521
12335402498241
1314940117b2ba
14862cb083129
15437e36b2ee1
hex238a49d6051

2442303201361 has 2 divisors, whose sum is σ = 2442303201362. Its totient is φ = 2442303201360.

The previous prime is 2442303201341. The next prime is 2442303201407. The reversal of 2442303201361 is 1631023032442.

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., 1941967667025 + 500335534336 = 1393545^2 + 707344^2 .

It is a cyclic number.

It is not a de Polignac number, because 2442303201361 - 211 = 2442303199313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2442303201341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1221151600680 + 1221151600681.

It is an arithmetic number, because the mean of its divisors is an integer number (1221151600681).

Almost surely, 22442303201361 is an apocalyptic number.

It is an amenable number.

2442303201361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2442303201361 is an equidigital number, since it uses as much as digits as its factorization.

2442303201361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 2442303201361 in words is "two trillion, four hundred forty-two billion, three hundred three million, two hundred one thousand, three hundred sixty-one".