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223243312432241 is a prime number
BaseRepresentation
bin110010110000100111100010…
…010101100000010001110001
31002021102212000021122001110202
4302300213202111200101301
5213230104300440312431
62110444321213004545
765010540252213263
oct6260474225402161
91067385007561422
10223243312432241
116514aa58a21702
1221056071783755
1397749a57ba1ba
143d1b06931bb33
151ac210e2d18cb
hexcb09e2560471

223243312432241 has 2 divisors, whose sum is σ = 223243312432242. Its totient is φ = 223243312432240.

The previous prime is 223243312432069. The next prime is 223243312432243. The reversal of 223243312432241 is 142234213342322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131754010912225 + 91489301520016 = 11478415^2 + 9565004^2 .

It is a cyclic number.

It is not a de Polignac number, because 223243312432241 - 226 = 223243245323377 is a prime.

It is a super-3 number, since 3×2232433124322413 (a number of 44 digits) contains 333 as substring.

Together with 223243312432243, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 223243312432195 and 223243312432204.

It is not a weakly prime, because it can be changed into another prime (223243312432243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111621656216120 + 111621656216121.

It is an arithmetic number, because the mean of its divisors is an integer number (111621656216121).

Almost surely, 2223243312432241 is an apocalyptic number.

It is an amenable number.

223243312432241 is a deficient number, since it is larger than the sum of its proper divisors (1).

223243312432241 is an equidigital number, since it uses as much as digits as its factorization.

223243312432241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 331776, while the sum is 38.

Adding to 223243312432241 its reverse (142234213342322), we get a palindrome (365477525774563).

The spelling of 223243312432241 in words is "two hundred twenty-three trillion, two hundred forty-three billion, three hundred twelve million, four hundred thirty-two thousand, two hundred forty-one".