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111424011340122 = 232131317974560719
BaseRepresentation
bin11001010101011011101100…
…100111011000100101011010
3112121112000211221010001000100
4121111123230213120211122
5104101032333400340442
61032551252324520230
732320055605300635
oct3125335447304532
9477460757101010
10111424011340122
1132559726646728
12105b6877b50076
134a233156451a0
141d72d45498c1c
15cd35da85384c
hex6556ec9d895a

111424011340122 has 96 divisors (see below), whose sum is σ = 262302769048320. Its totient is φ = 33979903102080.

The previous prime is 111424011340121. The next prime is 111424011340157. The reversal of 111424011340122 is 221043110424111.

111424011340122 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 2 + 401 + 134 + 0 + 122 = 666.

It is not an unprimeable number, because it can be changed into a prime (111424011340121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22150879 + ... + 26711597.

It is an arithmetic number, because the mean of its divisors is an integer number (2732320510920).

Almost surely, 2111424011340122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111424011340122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131151384524160).

111424011340122 is an abundant number, since it is smaller than the sum of its proper divisors (150878757708198).

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

111424011340122 is a wasteful number, since it uses less digits than its factorization.

111424011340122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561668 (or 4561665 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 111424011340122 its reverse (221043110424111), we get a palindrome (332467121764233).

The spelling of 111424011340122 in words is "one hundred eleven trillion, four hundred twenty-four billion, eleven million, three hundred forty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 131 234 262 393 786 797 1179 1594 1703 2358 2391 3406 4782 5109 7173 10218 10361 14346 15327 20722 30654 31083 62166 93249 104407 186498 208814 313221 626442 939663 1357291 1879326 2714582 4071873 4560719 8143746 9121438 12215619 13682157 24431238 27364314 41046471 59289347 82092942 118578694 177868041 355736082 533604123 597454189 1067208246 1194908378 1792362567 3584725134 3634893043 5377087701 7269786086 7766904457 10754175402 10904679129 15533808914 21809358258 23300713371 32714037387 46601426742 47253609559 65428074774 69902140113 94507219118 139804280226 141760828677 283521657354 425282486031 476170988633 850564972062 952341977266 1428512965899 2857025931798 4285538897697 6190222852229 8571077795394 12380445704458 18570668556687 37141337113374 55712005670061 111424011340122