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288883123013 is a prime number
BaseRepresentation
bin1000011010000101100…
…01101010001101000101
31000121122202120011102102
410031002301222031011
514213113034414023
6340413331521445
726604536013302
oct4150261521505
91017582504372
10288883123013
11101572aa0061
1247ba2459285
132131a9319a4
14dda692a0a9
1577ab734628
hex4342c6a345

288883123013 has 2 divisors, whose sum is σ = 288883123014. Its totient is φ = 288883123012.

The previous prime is 288883123007. The next prime is 288883123031. The reversal of 288883123013 is 310321388882.

It is a happy number.

Together with next prime (288883123031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212504404324 + 76378718689 = 460982^2 + 276367^2 .

It is a cyclic number.

It is not a de Polignac number, because 288883123013 - 28 = 288883122757 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288883123033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144441561506 + 144441561507.

It is an arithmetic number, because the mean of its divisors is an integer number (144441561507).

Almost surely, 2288883123013 is an apocalyptic number.

It is an amenable number.

288883123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

288883123013 is an equidigital number, since it uses as much as digits as its factorization.

288883123013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 288883123013 in words is "two hundred eighty-eight billion, eight hundred eighty-three million, one hundred twenty-three thousand, thirteen".