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19833270000013 is a prime number
BaseRepresentation
bin1001000001001110010110…
…00000110101100110001101
32121020001010200112221021001
410200213023000311212031
510044422014110000023
6110103140051340301
74114622630300311
oct440471300654615
977201120487231
1019833270000013
116357273954318
1222839a1bb1691
13b0b366967002
144c7d149d1b41
15245d976646ad
hex1209cb03598d

19833270000013 has 2 divisors, whose sum is σ = 19833270000014. Its totient is φ = 19833270000012.

The previous prime is 19833269999947. The next prime is 19833270000097. The reversal of 19833270000013 is 31000007233891.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13176885480004 + 6656384520009 = 3629998^2 + 2579997^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-19833270000013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (19833270006013) 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, 9916635000006 + 9916635000007.

It is an arithmetic number, because the mean of its divisors is an integer number (9916635000007).

Almost surely, 219833270000013 is an apocalyptic number.

It is an amenable number.

19833270000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

19833270000013 is an equidigital number, since it uses as much as digits as its factorization.

19833270000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 19833270000013 in words is "nineteen trillion, eight hundred thirty-three billion, two hundred seventy million, thirteen", and thus it is an aban number.