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13301310 = 23511172371
BaseRepresentation
bin110010101111…
…011000111110
3221000202222010
4302233120332
511401120220
61153032050
7221026221
oct62573076
927022863
1013301310
117565520
124555626
1329a93c9
141aa35b8
15127b1e0
hexcaf63e

13301310 has 64 divisors (see below), whose sum is σ = 36889344. Its totient is φ = 3033600.

The previous prime is 13301287. The next prime is 13301341. The reversal of 13301310 is 1310331.

It is a super-2 number, since 2×133013102 = 353849695432200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4425 + ... + 6795.

It is an arithmetic number, because the mean of its divisors is an integer number (576396).

Almost surely, 213301310 is an apocalyptic number.

13301310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13301310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18444672).

13301310 is an abundant number, since it is smaller than the sum of its proper divisors (23588034).

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

13301310 is a wasteful number, since it uses less digits than its factorization.

13301310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 13301310 is about 3647.0961051225. The cubic root of 13301310 is about 236.9362288142.

Adding to 13301310 its reverse (1310331), we get a palindrome (14611641).

The spelling of 13301310 in words is "thirteen million, three hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2371 2805 4742 5610 7113 11855 14226 23710 26081 35565 40307 52162 71130 78243 80614 120921 130405 156486 201535 241842 260810 391215 403070 443377 604605 782430 886754 1209210 1330131 2216885 2660262 4433770 6650655 13301310