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1311003225817 is a prime number
BaseRepresentation
bin10011000100111101111…
…000011010111011011001
311122022221001212020110021
4103010331320122323121
5132434413311211232
62442133324550441
7163500611361055
oct23047570327331
94568831766407
101311003225817
11465aa216364a
121920b83b2421
139681c8b114c
144764aa58c65
152417ee00397
hex1313de1aed9

1311003225817 has 2 divisors, whose sum is σ = 1311003225818. Its totient is φ = 1311003225816.

The previous prime is 1311003225811. The next prime is 1311003225841. The reversal of 1311003225817 is 7185223001131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1071827454681 + 239175771136 = 1035291^2 + 489056^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311003225817 - 219 = 1311002701529 is a prime.

It is not a weakly prime, because it can be changed into another prime (1311003225811) 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, 655501612908 + 655501612909.

It is an arithmetic number, because the mean of its divisors is an integer number (655501612909).

Almost surely, 21311003225817 is an apocalyptic number.

It is an amenable number.

1311003225817 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311003225817 is an equidigital number, since it uses as much as digits as its factorization.

1311003225817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

Adding to 1311003225817 its reverse (7185223001131), we get a palindrome (8496226226948).

The spelling of 1311003225817 in words is "one trillion, three hundred eleven billion, three million, two hundred twenty-five thousand, eight hundred seventeen".