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271313 = 74113
BaseRepresentation
bin1000010001111010001
3111210011122
41002033101
532140223
65452025
72210000
oct1021721
9453148
10271313
11175929
12111015
1396653
1470c37
15555c8
hex423d1

271313 has 10 divisors (see below), whose sum is σ = 319314. Its totient is φ = 230496.

The previous prime is 271289. The next prime is 271333. The reversal of 271313 is 313172.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 117649 = 392^2 + 343^2 .

It is not a de Polignac number, because 271313 - 28 = 271057 is a prime.

It is a super-2 number, since 2×2713132 = 147221487938, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 7 and base 13.

It is a junction number, because it is equal to n+sod(n) for n = 271291 and 271300.

It is not an unprimeable number, because it can be changed into a prime (271333) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2345 + ... + 2457.

2271313 is an apocalyptic number.

It is an amenable number.

271313 is a deficient number, since it is larger than the sum of its proper divisors (48001).

271313 is an frugal number, since it uses more digits than its factorization.

271313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its digits is 126, while the sum is 17.

The square root of 271313 is about 520.8771448240. The cubic root of 271313 is about 64.7376406895.

Adding to 271313 its reverse (313172), we get a palindrome (584485).

The spelling of 271313 in words is "two hundred seventy-one thousand, three hundred thirteen".

Divisors: 1 7 49 113 343 791 2401 5537 38759 271313