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231310314113 is a prime number
BaseRepresentation
bin1101011101101100101…
…0110100101010000001
3211010001102011102220212
43113123022310222001
512242210420022423
6254132410443505
722466041141424
oct3273312645201
9733042142825
10231310314113
118a10970765a
12389b5433595
1318a73cc0a68
14b2a45739bb
15603c129578
hex35db2b4a81

231310314113 has 2 divisors, whose sum is σ = 231310314114. Its totient is φ = 231310314112.

The previous prime is 231310314089. The next prime is 231310314119. The reversal of 231310314113 is 311413013132.

231310314113 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., 180512817424 + 50797496689 = 424868^2 + 225383^2 .

It is a cyclic number.

It is not a de Polignac number, because 231310314113 - 234 = 214130444929 is a prime.

It is a super-2 number, since 2×2313103141132 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (231310314119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115655157056 + 115655157057.

It is an arithmetic number, because the mean of its divisors is an integer number (115655157057).

Almost surely, 2231310314113 is an apocalyptic number.

It is an amenable number.

231310314113 is a deficient number, since it is larger than the sum of its proper divisors (1).

231310314113 is an equidigital number, since it uses as much as digits as its factorization.

231310314113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 231310314113 its reverse (311413013132), we get a palindrome (542723327245).

The spelling of 231310314113 in words is "two hundred thirty-one billion, three hundred ten million, three hundred fourteen thousand, one hundred thirteen".