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110112011112 = 233238910720947
BaseRepresentation
bin110011010001100101…
…1111111001101101000
3101112012220011201201210
41212203023333031220
53301002133323422
6122330150313120
710645451436315
oct1464313771550
9345186151653
10110112011112
11427753a5784
12194103587a0
13a4ca78777c
14548801dd0c
152ce6d7110c
hex19a32ff368

110112011112 has 128 divisors (see below), whose sum is σ = 293204966400. Its totient is φ = 34387634688.

The previous prime is 110112011069. The next prime is 110112011183. The reversal of 110112011112 is 211110211011.

It is a super-2 number, since 2×1101120111122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5246223 + ... + 5267169.

It is an arithmetic number, because the mean of its divisors is an integer number (2290663800).

Almost surely, 2110112011112 is an apocalyptic number.

110112011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110112011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146602483200).

110112011112 is an abundant number, since it is smaller than the sum of its proper divisors (183092955288).

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

110112011112 is a wasteful number, since it uses less digits than its factorization.

110112011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21175 (or 21171 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110112011112 its reverse (211110211011), we get a palindrome (321222222123).

The spelling of 110112011112 in words is "one hundred ten billion, one hundred twelve million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 89 92 107 138 178 184 214 267 276 321 356 428 534 552 642 712 856 1068 1284 2047 2136 2461 2568 4094 4922 6141 7383 8188 9523 9844 12282 14766 16376 19046 19688 20947 24564 28569 29532 38092 41894 49128 57138 59064 62841 76184 83788 114276 125682 167576 219029 228552 251364 438058 481781 502728 657087 876116 963562 1314174 1445343 1752232 1864283 1927124 2241329 2628348 2890686 3728566 3854248 4482658 5256696 5592849 5781372 6723987 7457132 8965316 11185698 11562744 13447974 14914264 17930632 22371396 26895948 42878509 44742792 51550567 53791896 85757018 103101134 128635527 154651701 171514036 199478281 206202268 257271054 309303402 343028072 398956562 412404536 514542108 598434843 618606804 797913124 1029084216 1196869686 1237213608 1595826248 2393739372 4588000463 4787478744 9176000926 13764001389 18352001852 27528002778 36704003704 55056005556 110112011112