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2823138293 is a prime number
BaseRepresentation
bin1010100001000101…
…1010101111110101
321021202020021200112
42220101122233311
521240210411133
61144045352405
7126650164613
oct25021325765
97252207615
102823138293
111219651648
12669568705
1335cb6bc41
141cad286b3
15117caa648
hexa845abf5

2823138293 has 2 divisors, whose sum is σ = 2823138294. Its totient is φ = 2823138292.

The previous prime is 2823138257. The next prime is 2823138317. The reversal of 2823138293 is 3928313282.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2623283524 + 199854769 = 51218^2 + 14137^2 .

It is a cyclic number.

It is not a de Polignac number, because 2823138293 - 216 = 2823072757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2823138293.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2823138203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1411569146 + 1411569147.

It is an arithmetic number, because the mean of its divisors is an integer number (1411569147).

Almost surely, 22823138293 is an apocalyptic number.

It is an amenable number.

2823138293 is a deficient number, since it is larger than the sum of its proper divisors (1).

2823138293 is an equidigital number, since it uses as much as digits as its factorization.

2823138293 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 124416, while the sum is 41.

The square root of 2823138293 is about 53133.2127110718. The cubic root of 2823138293 is about 1413.3315404270.

The spelling of 2823138293 in words is "two billion, eight hundred twenty-three million, one hundred thirty-eight thousand, two hundred ninety-three".