Search a number
-
+
271284313 is a prime number
BaseRepresentation
bin10000001010110…
…111100001011001
3200220110200010011
4100022313201121
51023422044223
642530321521
76502610236
oct2012674131
9626420104
10271284313
1112a150a13
1276a292a1
1344285581
142805a78d
1518c3a80d
hex102b7859

271284313 has 2 divisors, whose sum is σ = 271284314. Its totient is φ = 271284312.

The previous prime is 271284311. The next prime is 271284347. The reversal of 271284313 is 313482172.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213949129 + 57335184 = 14627^2 + 7572^2 .

It is a cyclic number.

It is not a de Polignac number, because 271284313 - 21 = 271284311 is a prime.

Together with 271284311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (271284311) 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, 135642156 + 135642157.

It is an arithmetic number, because the mean of its divisors is an integer number (135642157).

Almost surely, 2271284313 is an apocalyptic number.

It is an amenable number.

271284313 is a deficient number, since it is larger than the sum of its proper divisors (1).

271284313 is an equidigital number, since it uses as much as digits as its factorization.

271284313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 31.

The square root of 271284313 is about 16470.7107618342. The cubic root of 271284313 is about 647.3535895320.

It can be divided in two parts, 2712 and 84313, that added together give a square (87025 = 2952).

The spelling of 271284313 in words is "two hundred seventy-one million, two hundred eighty-four thousand, three hundred thirteen".