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80311 = 7211149
BaseRepresentation
bin10011100110110111
311002011111
4103212313
510032221
61415451
7453100
oct234667
9132144
1080311
1155380
123a587
132a72a
14213a7
1518be1
hex139b7

80311 has 12 divisors (see below), whose sum is σ = 102600. Its totient is φ = 62160.

The previous prime is 80309. The next prime is 80317. The reversal of 80311 is 11308.

It is not a de Polignac number, because 80311 - 21 = 80309 is a prime.

It is a Duffinian number.

80311 is a lucky number.

It is a plaindrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 80291 and 80300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80317) 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 in 11 ways as a sum of consecutive naturals, for example, 465 + ... + 613.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

280311 is an apocalyptic number.

80311 is a deficient number, since it is larger than the sum of its proper divisors (22289).

80311 is a wasteful number, since it uses less digits than its factorization.

80311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 80311 is about 283.3919547200. The cubic root of 80311 is about 43.1444573684.

Adding to 80311 its reverse (11308), we get a palindrome (91619).

The spelling of 80311 in words is "eighty thousand, three hundred eleven".

Divisors: 1 7 11 49 77 149 539 1043 1639 7301 11473 80311