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1322313299117 is a prime number
BaseRepresentation
bin10011001111100000000…
…000111011010010101101
311200102010021202111021222
4103033200000323102231
5133131044201032432
62451243511033125
7164351104406516
oct23174000732255
94612107674258
101322313299117
1146a876426068
1219433406b7a5
1397902b22605
1448000ba1a0d
15245e2cdd112
hex133e003b4ad

1322313299117 has 2 divisors, whose sum is σ = 1322313299118. Its totient is φ = 1322313299116.

The previous prime is 1322313299113. The next prime is 1322313299141. The reversal of 1322313299117 is 7119923132231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 811790188036 + 510523111081 = 900994^2 + 714509^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322313299117 - 22 = 1322313299113 is a prime.

It is a super-3 number, since 3×13223132991173 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1322313299113) 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, 661156649558 + 661156649559.

It is an arithmetic number, because the mean of its divisors is an integer number (661156649559).

Almost surely, 21322313299117 is an apocalyptic number.

It is an amenable number.

1322313299117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322313299117 is an equidigital number, since it uses as much as digits as its factorization.

1322313299117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 122472, while the sum is 44.

The spelling of 1322313299117 in words is "one trillion, three hundred twenty-two billion, three hundred thirteen million, two hundred ninety-nine thousand, one hundred seventeen".