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3211111313 is a prime number
BaseRepresentation
bin1011111101100101…
…1010101110010001
322021210021100121122
42333121122232101
523034021030223
61250345132025
7142400665364
oct27731325621
98253240548
103211111313
1113a8652503
1275748a015
133c235c187
1422667c0db
1513bd955c8
hexbf65ab91

3211111313 has 2 divisors, whose sum is σ = 3211111314. Its totient is φ = 3211111312.

The previous prime is 3211111273. The next prime is 3211111327. The reversal of 3211111313 is 3131111123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1938905089 + 1272206224 = 44033^2 + 35668^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3211111313 is a prime.

It is a super-2 number, since 2×32111113132 = 20622471728953167938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3211111291 and 3211111300.

It is not a weakly prime, because it can be changed into another prime (3211111363) 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, 1605555656 + 1605555657.

It is an arithmetic number, because the mean of its divisors is an integer number (1605555657).

Almost surely, 23211111313 is an apocalyptic number.

It is an amenable number.

3211111313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3211111313 is an equidigital number, since it uses as much as digits as its factorization.

3211111313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54, while the sum is 17.

The square root of 3211111313 is about 56666.6684480392. The cubic root of 3211111313 is about 1475.3162302727.

Adding to 3211111313 its reverse (3131111123), we get a palindrome (6342222436).

The spelling of 3211111313 in words is "three billion, two hundred eleven million, one hundred eleven thousand, three hundred thirteen".