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13322413130309 is a prime number
BaseRepresentation
bin1100000111011101110110…
…1100111100001001000101
31202011121110212200112201222
43001313131230330021011
53221233300230132214
644200122044530125
72543340550112213
oct301673554741105
952147425615658
1013322413130309
114277004996588
1215b1b81250945
137583b50c6bba
14340b45b29cb3
1518182e87d38e
hexc1dddb3c245

13322413130309 has 2 divisors, whose sum is σ = 13322413130310. Its totient is φ = 13322413130308.

The previous prime is 13322413130239. The next prime is 13322413130371. The reversal of 13322413130309 is 90303131422331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8263917338209 + 5058495792100 = 2874703^2 + 2249110^2 .

It is a cyclic number.

It is not a de Polignac number, because 13322413130309 - 224 = 13322396353093 is a prime.

It is a super-2 number, since 2×133224131303092 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13322413132309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6661206565154 + 6661206565155.

It is an arithmetic number, because the mean of its divisors is an integer number (6661206565155).

Almost surely, 213322413130309 is an apocalyptic number.

It is an amenable number.

13322413130309 is a deficient number, since it is larger than the sum of its proper divisors (1).

13322413130309 is an equidigital number, since it uses as much as digits as its factorization.

13322413130309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 35.

The spelling of 13322413130309 in words is "thirteen trillion, three hundred twenty-two billion, four hundred thirteen million, one hundred thirty thousand, three hundred nine".