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231303101313617 is a prime number
BaseRepresentation
bin110100100101111001110011…
…001100000111001001010001
31010022222100201211100022202222
4310211321303030013021101
5220304132222414013432
62135535102224150425
766502045322304164
oct6445716314071121
91108870654308688
10231303101313617
11677781046a53a3
1221b38110768415
139c0aa34190478
1441191b63b5adb
151bb1ad0196112
hexd25e73307251

231303101313617 has 2 divisors, whose sum is σ = 231303101313618. Its totient is φ = 231303101313616.

The previous prime is 231303101313539. The next prime is 231303101313631. The reversal of 231303101313617 is 716313101303132.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230383796203201 + 919305110416 = 15178399^2 + 958804^2 .

It is a cyclic number.

It is not a de Polignac number, because 231303101313617 - 234 = 231285921444433 is a prime.

It is a super-2 number, since 2×2313031013136172 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (231303101313217) 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, 115651550656808 + 115651550656809.

It is an arithmetic number, because the mean of its divisors is an integer number (115651550656809).

Almost surely, 2231303101313617 is an apocalyptic number.

It is an amenable number.

231303101313617 is a deficient number, since it is larger than the sum of its proper divisors (1).

231303101313617 is an equidigital number, since it uses as much as digits as its factorization.

231303101313617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 35.

Adding to 231303101313617 its reverse (716313101303132), we get a palindrome (947616202616749).

The spelling of 231303101313617 in words is "two hundred thirty-one trillion, three hundred three billion, one hundred one million, three hundred thirteen thousand, six hundred seventeen".