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3221131013 is a prime number
BaseRepresentation
bin1011111111111110…
…1000111100000101
322022111010102001122
42333333220330011
523044102143023
61251344003325
7142552106342
oct27777507405
98274112048
103221131013
111403276451
1275a900545
133c44599a9
14227b297c9
1513cbc42c8
hexbffe8f05

3221131013 has 2 divisors, whose sum is σ = 3221131014. Its totient is φ = 3221131012.

The previous prime is 3221131003. The next prime is 3221131027. The reversal of 3221131013 is 3101311223.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2823647044 + 397483969 = 53138^2 + 19937^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3221131013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3221130982 and 3221131000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3221131003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1610565506 + 1610565507.

It is an arithmetic number, because the mean of its divisors is an integer number (1610565507).

Almost surely, 23221131013 is an apocalyptic number.

It is an amenable number.

3221131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3221131013 is an equidigital number, since it uses as much as digits as its factorization.

3221131013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3221131013 is about 56755.0087040783. The cubic root of 3221131013 is about 1476.8491240376.

Adding to 3221131013 its reverse (3101311223), we get a palindrome (6322442236).

The spelling of 3221131013 in words is "three billion, two hundred twenty-one million, one hundred thirty-one thousand, thirteen".