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313442441041 is a prime number
BaseRepresentation
bin1001000111110101010…
…00000001011101010001
31002222001100020210012211
410203322220001131101
520113412231103131
6355554331152121
731434252534502
oct4437250013521
91088040223184
10313442441041
11110a260a5204
12508b72a5641
1323732a81832
141125655cba9
1582478a95b1
hex48faa01751

313442441041 has 2 divisors, whose sum is σ = 313442441042. Its totient is φ = 313442441040.

The previous prime is 313442441023. The next prime is 313442441047. The reversal of 313442441041 is 140144244313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313063749441 + 378691600 = 559521^2 + 19460^2 .

It is a cyclic number.

It is not a de Polignac number, because 313442441041 - 25 = 313442441009 is a prime.

It is a super-2 number, since 2×3134424410412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313442440994 and 313442441012.

It is not a weakly prime, because it can be changed into another prime (313442441047) 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, 156721220520 + 156721220521.

It is an arithmetic number, because the mean of its divisors is an integer number (156721220521).

Almost surely, 2313442441041 is an apocalyptic number.

It is an amenable number.

313442441041 is a deficient number, since it is larger than the sum of its proper divisors (1).

313442441041 is an equidigital number, since it uses as much as digits as its factorization.

313442441041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 313442441041 its reverse (140144244313), we get a palindrome (453586685354).

The spelling of 313442441041 in words is "three hundred thirteen billion, four hundred forty-two million, four hundred forty-one thousand, forty-one".