Search a number
-
+
286591031 is a prime number
BaseRepresentation
bin10001000101010…
…000100000110111
3201222021022222122
4101011100200313
51041331403111
644234350155
710046661236
oct2105204067
9658238878
10286591031
111378560a1
127bb8b35b
13474b46bc
142a0c2b1d
151a260cdb
hex11150837

286591031 has 2 divisors, whose sum is σ = 286591032. Its totient is φ = 286591030.

The previous prime is 286591013. The next prime is 286591033. The reversal of 286591031 is 130195682.

Together with previous prime (286591013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 286591031 - 214 = 286574647 is a prime.

It is a super-2 number, since 2×2865910312 = 164268838099285922, which contains 22 as substring.

Together with 286591033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 286590982 and 286591000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (286591033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 143295515 + 143295516.

It is an arithmetic number, because the mean of its divisors is an integer number (143295516).

Almost surely, 2286591031 is an apocalyptic number.

286591031 is a deficient number, since it is larger than the sum of its proper divisors (1).

286591031 is an equidigital number, since it uses as much as digits as its factorization.

286591031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 286591031 is about 16928.9997046488. Note that the first 3 decimals coincide. The cubic root of 286591031 is about 659.3067644579.

The spelling of 286591031 in words is "two hundred eighty-six million, five hundred ninety-one thousand, thirty-one".