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318036727630813 is a prime number
BaseRepresentation
bin100100001010000001011001…
…0001011010000101111011101
31112201002000101101002012102111
41020110002302023100233131
5313141203204233141223
63044224020005554021
7123663252406642522
oct11024026213205735
91481060341065374
10318036727630813
1192377689602374
122b805794715911
131085c97227a1c9
1458770b9d49149
1526b7ce9ca830d
hex12140b22d0bdd

318036727630813 has 2 divisors, whose sum is σ = 318036727630814. Its totient is φ = 318036727630812.

The previous prime is 318036727630793. The next prime is 318036727630967.

318036727630813 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 313936985483289 + 4099742147524 = 17718267^2 + 2024782^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-318036727630813 is a prime.

It is a super-3 number, since 3×3180367276308133 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (318036727630313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 159018363815406 + 159018363815407.

It is an arithmetic number, because the mean of its divisors is an integer number (159018363815407).

Almost surely, 2318036727630813 is an apocalyptic number.

It is an amenable number.

318036727630813 is a deficient number, since it is larger than the sum of its proper divisors (1).

318036727630813 is an equidigital number, since it uses as much as digits as its factorization.

318036727630813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18289152, while the sum is 58.

The spelling of 318036727630813 in words is "three hundred eighteen trillion, thirty-six billion, seven hundred twenty-seven million, six hundred thirty thousand, eight hundred thirteen".