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334112442342353 is a prime number
BaseRepresentation
bin100101111110111111001110…
…1011100001101101111010001
31121210222211121120102212111122
41023331332131130031233101
5322243044240214423403
63142333045335052025
7130242553534261463
oct11375763534155721
91553884546385448
10334112442342353
1197505322455204
1231581290b11015
131145788bb2c07c
145c711b2828133
152896070d27838
hex12fdf9d70dbd1

334112442342353 has 2 divisors, whose sum is σ = 334112442342354. Its totient is φ = 334112442342352.

The previous prime is 334112442342331. The next prime is 334112442342409. The reversal of 334112442342353 is 353243244211433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 223172735027089 + 110939707315264 = 14938967^2 + 10532792^2 .

It is an emirp because it is prime and its reverse (353243244211433) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 334112442342353 - 210 = 334112442341329 is a prime.

It is a super-2 number, since 2×3341124423423532 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (334112442312353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167056221171176 + 167056221171177.

It is an arithmetic number, because the mean of its divisors is an integer number (167056221171177).

Almost surely, 2334112442342353 is an apocalyptic number.

It is an amenable number.

334112442342353 is a deficient number, since it is larger than the sum of its proper divisors (1).

334112442342353 is an equidigital number, since it uses as much as digits as its factorization.

334112442342353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2488320, while the sum is 44.

Adding to 334112442342353 its reverse (353243244211433), we get a palindrome (687355686553786).

The spelling of 334112442342353 in words is "three hundred thirty-four trillion, one hundred twelve billion, four hundred forty-two million, three hundred forty-two thousand, three hundred fifty-three".