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11320300120112 = 24235328110192027
BaseRepresentation
bin1010010010111011011001…
…1101111010100000110000
31111002012200011211122200222
42210232312131322200300
52440432433312320422
640024250222432212
72245602406242434
oct244566635724060
944065604748628
1011320300120112
113674a04330985
121329b49732668
13641665b6ac49
142b1c967a49c4
15149701118842
hexa4bb677a830

11320300120112 has 160 divisors (see below), whose sum is σ = 23436023569920. Its totient is φ = 5285197998080.

The previous prime is 11320300120111. The next prime is 11320300120123. The reversal of 11320300120112 is 21102100302311.

11320300120112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11320300120111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5584754843 + ... + 5584756869.

It is an arithmetic number, because the mean of its divisors is an integer number (146475147312).

Almost surely, 211320300120112 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 11320300120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718011784960).

11320300120112 is an abundant number, since it is smaller than the sum of its proper divisors (12115723449808).

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

11320300120112 is a wasteful number, since it uses less digits than its factorization.

11320300120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 11320300120112 its reverse (21102100302311), we get a palindrome (32422400422423).

The spelling of 11320300120112 in words is "eleven trillion, three hundred twenty billion, three hundred million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 46 53 92 106 184 212 281 368 424 562 848 1019 1124 1219 2027 2038 2248 2438 4054 4076 4496 4876 6463 8108 8152 9752 12926 14893 16216 16304 19504 23437 25852 29786 32432 46621 46874 51704 54007 59572 93242 93748 103408 107431 108014 119144 186484 187496 214862 216028 238288 286339 342539 372968 374992 429724 432056 569587 572678 685078 745936 859448 864112 1139174 1145356 1242161 1370156 1718896 2065513 2278348 2290712 2470913 2484322 2740312 4131026 4556696 4581424 4941826 4968644 5480624 6585797 8262052 9113392 9883652 9937288 13100501 13171594 15175967 16524104 19767304 19874576 26201002 26343188 30188111 30351934 33048208 39534608 47506799 52402004 52686376 60376222 60703868 95013598 104804008 105372752 109472189 120752444 121407736 190027196 209608016 218944378 241504888 242815472 349047241 380054392 437888756 483009776 580409153 694326553 698094482 760108784 875777512 1160818306 1388653106 1396188964 1751555024 2321636612 2517860347 2777306212 2792377928 4643273224 5035720694 5554612424 5584755856 9286546448 10071441388 11109224848 13349410519 20142882776 26698821038 30761685109 40285765552 53397642076 61523370218 106795284152 123046740436 213590568304 246093480872 492186961744 707518757507 1415037515014 2830075030028 5660150060056 11320300120112