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111131112317 is a prime number
BaseRepresentation
bin110011101111111101…
…1100011001101111101
3101121211220210102202212
41213133323203031331
53310044031043232
6123015233230205
711012634604001
oct1473773431575
9347756712685
10111131112317
1143148685585
1219655702365
13a630951c34
145543500701
152d56576eb2
hex19dfee337d

111131112317 has 2 divisors, whose sum is σ = 111131112318. Its totient is φ = 111131112316.

The previous prime is 111131112269. The next prime is 111131112319. The reversal of 111131112317 is 713211131111.

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., 91991496601 + 19139615716 = 303301^2 + 138346^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111131112317 is a prime.

Together with 111131112319, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 111131112292 and 111131112301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111131112319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55565556158 + 55565556159.

It is an arithmetic number, because the mean of its divisors is an integer number (55565556159).

Almost surely, 2111131112317 is an apocalyptic number.

It is an amenable number.

111131112317 is a deficient number, since it is larger than the sum of its proper divisors (1).

111131112317 is an equidigital number, since it uses as much as digits as its factorization.

111131112317 is an evil number, because the sum of its binary digits is even.

The product of its digits is 126, while the sum is 23.

Adding to 111131112317 its reverse (713211131111), we get a palindrome (824342243428).

The spelling of 111131112317 in words is "one hundred eleven billion, one hundred thirty-one million, one hundred twelve thousand, three hundred seventeen".