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11310112 = 2511223127
BaseRepresentation
bin101011001001…
…010000100000
3210021121120001
4223021100200
510343410422
61042225344
7165064042
oct53112040
923247501
1011310112
116425500
123955254
13245cc98
141705a92
15ed6227
hexac9420

11310112 has 72 divisors (see below), whose sum is σ = 25740288. Its totient is φ = 4878720.

The previous prime is 11310097. The next prime is 11310113. The reversal of 11310112 is 21101311.

It is not an unprimeable number, because it can be changed into a prime (11310113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88993 + ... + 89119.

It is an arithmetic number, because the mean of its divisors is an integer number (357504).

Almost surely, 211310112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870144).

11310112 is an abundant number, since it is smaller than the sum of its proper divisors (14430176).

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

11310112 is a wasteful number, since it uses less digits than its factorization.

11310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 11310112 is about 3363.0509957478. The cubic root of 11310112 is about 224.4686192813.

Adding to 11310112 its reverse (21101311), we get a palindrome (32411423).

The spelling of 11310112 in words is "eleven million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 121 127 176 184 242 253 254 352 368 484 506 508 736 968 1012 1016 1397 1936 2024 2032 2783 2794 2921 3872 4048 4064 5566 5588 5842 8096 11132 11176 11684 15367 22264 22352 23368 30734 32131 44528 44704 46736 61468 64262 89056 93472 122936 128524 245872 257048 353441 491744 514096 706882 1028192 1413764 2827528 5655056 11310112