Search a number
-
+
331232316049 is a prime number
BaseRepresentation
bin1001101000111101111…
…11000000101010010001
31011122222011001001221101
410310132333000222101
520411330433103144
6412055510024401
732634150142345
oct4643677005221
91148864031841
10331232316049
11118525009648
1254241048101
13253095c13ab
14120630cd625
1589395a86d4
hex4d1efc0a91

331232316049 has 2 divisors, whose sum is σ = 331232316050. Its totient is φ = 331232316048.

The previous prime is 331232316017. The next prime is 331232316061. The reversal of 331232316049 is 940613232133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227929856400 + 103302459649 = 477420^2 + 321407^2 .

It is an emirp because it is prime and its reverse (940613232133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331232316049 - 25 = 331232316017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331232315999 and 331232316017.

It is not a weakly prime, because it can be changed into another prime (331232316949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165616158024 + 165616158025.

It is an arithmetic number, because the mean of its divisors is an integer number (165616158025).

Almost surely, 2331232316049 is an apocalyptic number.

It is an amenable number.

331232316049 is a deficient number, since it is larger than the sum of its proper divisors (1).

331232316049 is an equidigital number, since it uses as much as digits as its factorization.

331232316049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 37.

The spelling of 331232316049 in words is "three hundred thirty-one billion, two hundred thirty-two million, three hundred sixteen thousand, forty-nine".