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222331343133241 is a prime number
BaseRepresentation
bin110010100011010110001100…
…101110101101101000111001
31002011012200001120111120202001
4302203112030232231220321
5213120134042320230431
62104505335313541001
764554623642114266
oct6243261456555071
91064180046446661
10222331343133241
116492921403a371
1220b29378b74761
1397099a9358664
143cc8c7442a26d
151aa853609ae61
hexca358cbada39

222331343133241 has 2 divisors, whose sum is σ = 222331343133242. Its totient is φ = 222331343133240.

The previous prime is 222331343133227. The next prime is 222331343133253. The reversal of 222331343133241 is 142331343133222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218228676679225 + 4102666454016 = 14772565^2 + 2025504^2 .

It is a cyclic number.

It is not a de Polignac number, because 222331343133241 - 211 = 222331343131193 is a prime.

It is a super-3 number, since 3×2223313431332413 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 222331343133241.

It is not a weakly prime, because it can be changed into another prime (222331343133271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111165671566620 + 111165671566621.

It is an arithmetic number, because the mean of its divisors is an integer number (111165671566621).

Almost surely, 2222331343133241 is an apocalyptic number.

It is an amenable number.

222331343133241 is a deficient number, since it is larger than the sum of its proper divisors (1).

222331343133241 is an equidigital number, since it uses as much as digits as its factorization.

222331343133241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 186624, while the sum is 37.

Adding to 222331343133241 its reverse (142331343133222), we get a palindrome (364662686266463).

The spelling of 222331343133241 in words is "two hundred twenty-two trillion, three hundred thirty-one billion, three hundred forty-three million, one hundred thirty-three thousand, two hundred forty-one".