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322213308133 is a prime number
BaseRepresentation
bin1001011000001010110…
…10001110011011100101
31010210200121011222222011
410230011122032123211
520234343101330013
6404004525234221
732164513633543
oct4540532163345
91123617158864
10322213308133
111147170154a2
1252544702971
13244ccc17412
141184936ad93
1585ac8c4c3d
hex4b0568e6e5

322213308133 has 2 divisors, whose sum is σ = 322213308134. Its totient is φ = 322213308132.

The previous prime is 322213308107. The next prime is 322213308143. The reversal of 322213308133 is 331803312223.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 238332405249 + 83880902884 = 488193^2 + 289622^2 .

It is an emirp because it is prime and its reverse (331803312223) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-322213308133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 322213308095 and 322213308104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (322213308143) 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, 161106654066 + 161106654067.

It is an arithmetic number, because the mean of its divisors is an integer number (161106654067).

Almost surely, 2322213308133 is an apocalyptic number.

It is an amenable number.

322213308133 is a deficient number, since it is larger than the sum of its proper divisors (1).

322213308133 is an equidigital number, since it uses as much as digits as its factorization.

322213308133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 322213308133 in words is "three hundred twenty-two billion, two hundred thirteen million, three hundred eight thousand, one hundred thirty-three".