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13454323313 is a prime number
BaseRepresentation
bin11001000011111000…
…01010111001110001
31021201122200102212212
430201330022321301
5210023301321223
610103020501505
7654260601254
oct144174127161
937648612785
1013454323313
115784684272
1227359aa895
131365553472
14918c3109b
1553b296278
hex321f0ae71

13454323313 has 2 divisors, whose sum is σ = 13454323314. Its totient is φ = 13454323312.

The previous prime is 13454323247. The next prime is 13454323367. The reversal of 13454323313 is 31332345431.

13454323313 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., 7862723584 + 5591599729 = 88672^2 + 74777^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13454323313 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13454323313.

It is not a weakly prime, because it can be changed into another prime (13454323013) 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, 6727161656 + 6727161657.

It is an arithmetic number, because the mean of its divisors is an integer number (6727161657).

Almost surely, 213454323313 is an apocalyptic number.

It is an amenable number.

13454323313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13454323313 is an equidigital number, since it uses as much as digits as its factorization.

13454323313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 38880, while the sum is 32.

Adding to 13454323313 its reverse (31332345431), we get a palindrome (44786668744).

The spelling of 13454323313 in words is "thirteen billion, four hundred fifty-four million, three hundred twenty-three thousand, three hundred thirteen".