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111111313 is a prime number
BaseRepresentation
bin1101001111101…
…10110010010001
321202002001001211
412213312302101
5211421030223
615005300121
72516300455
oct647666221
9252061054
10111111313
11577a0635
1231264641
131a034151
1410a84665
159b4bd0d
hex69f6c91

111111313 has 2 divisors, whose sum is σ = 111111314. Its totient is φ = 111111312.

The previous prime is 111111293. The next prime is 111111323. The reversal of 111111313 is 313111111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111028369 + 82944 = 10537^2 + 288^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111111313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111111293 and 111111302.

It is not a weakly prime, because it can be changed into another prime (111111323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555656 + 55555657.

It is an arithmetic number, because the mean of its divisors is an integer number (55555657).

Almost surely, 2111111313 is an apocalyptic number.

It is an amenable number.

111111313 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111313 is an equidigital number, since it uses as much as digits as its factorization.

111111313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9, while the sum is 13.

The square root of 111111313 is about 10540.9351103211. The cubic root of 111111313 is about 480.7501479431.

Adding to 111111313 its reverse (313111111), we get a palindrome (424222424).

It can be divided in two parts, 111111 and 313, that multiplied together give a palindrome (34777743).

The spelling of 111111313 in words is "one hundred eleven million, one hundred eleven thousand, three hundred thirteen".