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287478013 is a prime number
BaseRepresentation
bin10001001000101…
…001000011111101
3202000221101200211
4101020221003331
51042043244023
644305352421
710060344214
oct2110510375
9660841624
10287478013
11138301539
1280338711
1347735344
142a27407b
151a388a0d
hex112290fd

287478013 has 2 divisors, whose sum is σ = 287478014. Its totient is φ = 287478012.

The previous prime is 287478011. The next prime is 287478029. The reversal of 287478013 is 310874782.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 286895844 + 582169 = 16938^2 + 763^2 .

It is a cyclic number.

It is not a de Polignac number, because 287478013 - 21 = 287478011 is a prime.

Together with 287478011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (287478011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 143739006 + 143739007.

It is an arithmetic number, because the mean of its divisors is an integer number (143739007).

Almost surely, 2287478013 is an apocalyptic number.

It is an amenable number.

287478013 is a deficient number, since it is larger than the sum of its proper divisors (1).

287478013 is an equidigital number, since it uses as much as digits as its factorization.

287478013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 287478013 is about 16955.1765841586. The cubic root of 287478013 is about 659.9862355562.

The spelling of 287478013 in words is "two hundred eighty-seven million, four hundred seventy-eight thousand, thirteen".