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12431330441 is a prime number
BaseRepresentation
bin10111001001111011…
…10000110010001001
31012002100202000110222
423210331300302021
5200424410033231
65413314315425
7620026364615
oct134475606211
935070660428
1012431330441
1152aa186612
1224ab288b75
13123162583a
1485d01a345
154cb57227b
hex2e4f70c89

12431330441 has 2 divisors, whose sum is σ = 12431330442. Its totient is φ = 12431330440.

The previous prime is 12431330383. The next prime is 12431330473. The reversal of 12431330441 is 14403313421.

It is a happy number.

12431330441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10676055625 + 1755274816 = 103325^2 + 41896^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12431330441 is a prime.

It is a super-3 number, since 3×124313304413 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12431330441.

It is not a weakly prime, because it can be changed into another prime (12431330641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6215665220 + 6215665221.

It is an arithmetic number, because the mean of its divisors is an integer number (6215665221).

Almost surely, 212431330441 is an apocalyptic number.

It is an amenable number.

12431330441 is a deficient number, since it is larger than the sum of its proper divisors (1).

12431330441 is an equidigital number, since it uses as much as digits as its factorization.

12431330441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12431330441 its reverse (14403313421), we get a palindrome (26834643862).

The spelling of 12431330441 in words is "twelve billion, four hundred thirty-one million, three hundred thirty thousand, four hundred forty-one".