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13318305 = 3571113887
BaseRepresentation
bin110010110011…
…100010100001
3221001122021120
4302303202201
511402141210
61153242453
7221126610
oct62634241
927048246
1013318305
117577270
124563429
1329b4070
141aa9877
151281270
hexcb38a1

13318305 has 64 divisors (see below), whose sum is σ = 28643328. Its totient is φ = 5103360.

The previous prime is 13318301. The next prime is 13318307. The reversal of 13318305 is 50381331.

It is not a de Polignac number, because 13318305 - 22 = 13318301 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13318301) 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 63 ways as a sum of consecutive naturals, for example, 14572 + ... + 15458.

It is an arithmetic number, because the mean of its divisors is an integer number (447552).

Almost surely, 213318305 is an apocalyptic number.

13318305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13318305 is an abundant number, since it is smaller than the sum of its proper divisors (15325023).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13318305 is a wasteful number, since it uses less digits than its factorization.

13318305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 13318305 is about 3649.4252972215. The cubic root of 13318305 is about 237.0370965094.

Adding to 13318305 its reverse (50381331), we get a palindrome (63699636).

The spelling of 13318305 in words is "thirteen million, three hundred eighteen thousand, three hundred five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 143 165 195 231 273 385 429 455 715 887 1001 1155 1365 2145 2661 3003 4435 5005 6209 9757 11531 13305 15015 18627 29271 31045 34593 48785 57655 68299 80717 93135 126841 146355 172965 204897 242151 341495 380523 403585 634205 887887 1024485 1210755 1902615 2663661 4439435 13318305