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1322313303001 is a prime number
BaseRepresentation
bin10011001111100000000…
…000111100001111011001
311200102010021202200121211
4103033200000330033121
5133131044201144001
62451243511103121
7164351104424035
oct23174000741731
94612107680554
101322313303001
1146a876428a79
12194334071aa1
1397902b24302
1448000ba31c5
15245e2cde351
hex133e003c3d9

1322313303001 has 2 divisors, whose sum is σ = 1322313303002. Its totient is φ = 1322313303000.

The previous prime is 1322313302987. The next prime is 1322313303053. The reversal of 1322313303001 is 1003033132231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 771305497600 + 551007805401 = 878240^2 + 742299^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322313303001 - 27 = 1322313302873 is a prime.

It is not a weakly prime, because it can be changed into another prime (1322313303901) 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, 661156651500 + 661156651501.

It is an arithmetic number, because the mean of its divisors is an integer number (661156651501).

Almost surely, 21322313303001 is an apocalyptic number.

It is an amenable number.

1322313303001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322313303001 is an equidigital number, since it uses as much as digits as its factorization.

1322313303001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1322313303001 its reverse (1003033132231), we get a palindrome (2325346435232).

The spelling of 1322313303001 in words is "one trillion, three hundred twenty-two billion, three hundred thirteen million, three hundred three thousand, one".