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112112442222 = 231137711633967
BaseRepresentation
bin110100001101001101…
…1000001101101101110
3101201101022100011022220
41220122123001231232
53314101241122342
6123300450420210
711046152015064
oct1503233015556
9351338304286
10112112442222
1143601607230
121988a291666
13a759053111
1455d798c034
152db27bb5ec
hex1a1a6c1b6e

112112442222 has 128 divisors (see below), whose sum is σ = 256385875968. Its totient is φ = 32381596800.

The previous prime is 112112442203. The next prime is 112112442223. The reversal of 112112442222 is 222244211211.

It is a junction number, because it is equal to n+sod(n) for n = 112112442192 and 112112442201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112442223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28259283 + ... + 28263249.

It is an arithmetic number, because the mean of its divisors is an integer number (2003014656).

Almost surely, 2112112442222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112442222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128192937984).

112112442222 is an abundant number, since it is smaller than the sum of its proper divisors (144273433746).

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

112112442222 is a wasteful number, since it uses less digits than its factorization.

112112442222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254.

The product of its digits is 1024, while the sum is 24.

Adding to 112112442222 its reverse (222244211211), we get a palindrome (334356653433).

The spelling of 112112442222 in words is "one hundred twelve billion, one hundred twelve million, four hundred forty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 71 74 111 142 163 213 222 326 407 426 489 781 814 978 1221 1562 1793 2343 2442 2627 3586 3967 4686 5254 5379 6031 7881 7934 10758 11573 11901 12062 15762 18093 23146 23802 28897 34719 36186 43637 57794 66341 69438 86691 87274 127303 130911 132682 146779 173382 199023 254606 261822 281657 293558 381909 398046 428201 440337 563314 646621 763818 844971 856402 880674 1284603 1293242 1614569 1689942 1939863 2569206 3098227 3229138 3879726 4710211 4843707 6196454 7112831 9294681 9420422 9687414 10421309 14130633 14225662 18589362 20842618 21338493 23924977 28261266 31263927 42676986 45910091 47849954 62527854 71774931 91820182 114634399 137730273 143549862 229268798 263174747 275460546 343903197 505011001 526349494 687806394 789524241 1010022002 1515033003 1579048482 1698673367 3030066006 3397346734 5096020101 10192040202 18685407037 37370814074 56056221111 112112442222