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331223133361 is a prime number
BaseRepresentation
bin1001101000111100110…
…11111110110010110001
31011122221111202112122211
410310132123332302301
520411321110231421
6412054541132121
732634006115561
oct4643633766261
91148844675584
10331223133361
1111851a90754a
1254239b5a041
1325307727853
1412061bbcda1
1589388929e1
hex4d1e6fecb1

331223133361 has 2 divisors, whose sum is σ = 331223133362. Its totient is φ = 331223133360.

The previous prime is 331223133341. The next prime is 331223133379. The reversal of 331223133361 is 163331322133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 228675240000 + 102547893361 = 478200^2 + 320231^2 .

It is a cyclic number.

It is not a de Polignac number, because 331223133361 - 27 = 331223133233 is a prime.

It is not a weakly prime, because it can be changed into another prime (331223133341) 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, 165611566680 + 165611566681.

It is an arithmetic number, because the mean of its divisors is an integer number (165611566681).

Almost surely, 2331223133361 is an apocalyptic number.

It is an amenable number.

331223133361 is a deficient number, since it is larger than the sum of its proper divisors (1).

331223133361 is an equidigital number, since it uses as much as digits as its factorization.

331223133361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17496, while the sum is 31.

Adding to 331223133361 its reverse (163331322133), we get a palindrome (494554455494).

The spelling of 331223133361 in words is "three hundred thirty-one billion, two hundred twenty-three million, one hundred thirty-three thousand, three hundred sixty-one".