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3221313313 is a prime number
BaseRepresentation
bin1100000000000001…
…0101011100100001
322022111110200010111
43000000111130201
523044124011223
61251351531321
7142553466001
oct30000253441
98274420114
103221313313
111403390409
1275a989b41
133c44c196a
14227b76001
1513cc0d30d
hexc0015721

3221313313 has 2 divisors, whose sum is σ = 3221313314. Its totient is φ = 3221313312.

The previous prime is 3221313299. The next prime is 3221313331. The reversal of 3221313313 is 3133131223.

Together with next prime (3221313331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3098369569 + 122943744 = 55663^2 + 11088^2 .

It is a cyclic number.

It is not a de Polignac number, because 3221313313 - 25 = 3221313281 is a prime.

It is a super-2 number, since 2×32213133132 = 20753718921022071938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3221313343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1610656656 + 1610656657.

It is an arithmetic number, because the mean of its divisors is an integer number (1610656657).

Almost surely, 23221313313 is an apocalyptic number.

It is an amenable number.

3221313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3221313313 is an equidigital number, since it uses as much as digits as its factorization.

3221313313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 972, while the sum is 22.

The square root of 3221313313 is about 56756.6147070101. The cubic root of 3221313313 is about 1476.8769842846.

Adding to 3221313313 its reverse (3133131223), we get a palindrome (6354444536).

The spelling of 3221313313 in words is "three billion, two hundred twenty-one million, three hundred thirteen thousand, three hundred thirteen".