Search a number
-
+
286124381 is a prime number
BaseRepresentation
bin10001000011011…
…110100101011101
3201221101121212022
4101003132211131
51041221440011
644220345525
710043005604
oct2103364535
9657347768
10286124381
11137567534
127b9a52a5
134738018a
142a000a3b
151a1bc8db
hex110de95d

286124381 has 2 divisors, whose sum is σ = 286124382. Its totient is φ = 286124380.

The previous prime is 286124341. The next prime is 286124417. The reversal of 286124381 is 183421682.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 266179225 + 19945156 = 16315^2 + 4466^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-286124381 is a prime.

It is a super-2 number, since 2×2861243812 = 163734322805266322, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (286124341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 143062190 + 143062191.

It is an arithmetic number, because the mean of its divisors is an integer number (143062191).

Almost surely, 2286124381 is an apocalyptic number.

It is an amenable number.

286124381 is a deficient number, since it is larger than the sum of its proper divisors (1).

286124381 is an equidigital number, since it uses as much as digits as its factorization.

286124381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18432, while the sum is 35.

The square root of 286124381 is about 16915.2115269068. The cubic root of 286124381 is about 658.9487250592.

The spelling of 286124381 in words is "two hundred eighty-six million, one hundred twenty-four thousand, three hundred eighty-one".