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20311305 = 357193441
BaseRepresentation
bin100110101111…
…0110100001001
31102012220212120
41031132310021
520144430210
62003201453
7334433430
oct115366411
942186776
1020311305
1110513203
126976289
134292031
1429aa117
151bb3270
hex135ed09

20311305 has 16 divisors (see below), whose sum is σ = 37140864. Its totient is φ = 9285120.

The previous prime is 20311297. The next prime is 20311307. The reversal of 20311305 is 50311302.

It is a happy number.

It is not a de Polignac number, because 20311305 - 23 = 20311297 is a prime.

It is a super-2 number, since 2×203113052 = 825098221606050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20311307) 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 in 15 ways as a sum of consecutive naturals, for example, 96616 + ... + 96825.

It is an arithmetic number, because the mean of its divisors is an integer number (2321304).

Almost surely, 220311305 is an apocalyptic number.

It is an amenable number.

20311305 is a deficient number, since it is larger than the sum of its proper divisors (16829559).

20311305 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 20311305 = (10513203)11.

20311305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193456.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 20311305 is about 4506.8065190332. The cubic root of 20311305 is about 272.8428700368.

Adding to 20311305 its reverse (50311302), we get a palindrome (70622607).

The spelling of 20311305 in words is "twenty million, three hundred eleven thousand, three hundred five".

Divisors: 1 3 5 7 15 21 35 105 193441 580323 967205 1354087 2901615 4062261 6770435 20311305