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317378141873713 is a prime number
BaseRepresentation
bin100100000101001110101101…
…1011001111110011000110001
31112121202001110101210022201201
41020022131123121332120301
5313044410413304424323
63043001301111331201
7123564546136243114
oct11012353331763061
91477661411708651
10317378141873713
11921433500693a8
122b71a015680b01
1310812826b8a14b
145853280d9057b
1526a5b019428ad
hex120a75b67e631

317378141873713 has 2 divisors, whose sum is σ = 317378141873714. Its totient is φ = 317378141873712.

The previous prime is 317378141873687. The next prime is 317378141873719.

317378141873713 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310291642319409 + 7086499554304 = 17615097^2 + 2662048^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-317378141873713 is a prime.

It is not a weakly prime, because it can be changed into another prime (317378141873719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 158689070936856 + 158689070936857.

It is an arithmetic number, because the mean of its divisors is an integer number (158689070936857).

Almost surely, 2317378141873713 is an apocalyptic number.

It is an amenable number.

317378141873713 is a deficient number, since it is larger than the sum of its proper divisors (1).

317378141873713 is an equidigital number, since it uses as much as digits as its factorization.

317378141873713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49787136, while the sum is 64.

The spelling of 317378141873713 in words is "three hundred seventeen trillion, three hundred seventy-eight billion, one hundred forty-one million, eight hundred seventy-three thousand, seven hundred thirteen".