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110112133230 = 232511228335729
BaseRepresentation
bin110011010001100110…
…0011101000001101110
3101112012220101221020200
41212203030131001232
53301002201230410
6122330153054330
710645452455331
oct1464314350156
9345186357220
10110112133230
1142775479500
12194103b73a6
13a4ca7cb228
145488052618
152ce6d973c0
hex19a331d06e

110112133230 has 144 divisors (see below), whose sum is σ = 315804893040. Its totient is φ = 26598781440.

The previous prime is 110112133223. The next prime is 110112133249. The reversal of 110112133230 is 32331211011.

110112133230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1101121332302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3064006 + ... + 3099734.

It is an arithmetic number, because the mean of its divisors is an integer number (2193089535).

Almost surely, 2110112133230 is an apocalyptic number.

110112133230 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 110112133230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157902446520).

110112133230 is an abundant number, since it is smaller than the sum of its proper divisors (205692759810).

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

110112133230 is a wasteful number, since it uses less digits than its factorization.

110112133230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36047 (or 36033 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110112133230 its reverse (32331211011), we get a palindrome (142443344241).

It can be divided in two parts, 110112 and 133230, that added together give a palindrome (243342).

The spelling of 110112133230 in words is "one hundred ten billion, one hundred twelve million, one hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 283 330 363 495 566 605 726 849 990 1089 1210 1415 1698 1815 2178 2547 2830 3113 3630 4245 5094 5445 6226 8490 9339 10890 12735 15565 18678 25470 28017 31130 34243 35729 46695 56034 68486 71458 93390 102729 107187 140085 171215 178645 205458 214374 280170 308187 321561 342430 357290 393019 513645 535935 616374 643122 786038 1027290 1071870 1179057 1540935 1607805 1965095 2358114 3081870 3215610 3537171 3930190 4323209 5895285 7074342 8646418 10111307 11790570 12969627 17685855 20222614 21616045 25939254 30333921 35371710 38908881 43232090 50556535 60667842 64848135 77817762 91001763 101113070 111224377 129696270 151669605 182003526 194544405 222448754 303339210 333673131 389088810 455008815 556121885 667346262 910017630 1001019393 1112243770 1223468147 1668365655 2002038786 2446936294 3336731310 3670404441 5005096965 6117340735 7340808882 10010193930 11011213323 12234681470 18352022205 22022426646 36704044410 55056066615 110112133230