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112010022210112 = 26131911467617917
BaseRepresentation
bin11001011101111101011101…
…100101011100101001000000
3112200121001110000221122202021
4121131331131211130221000
5104140133011141210422
61034120405511331224
732410312524432235
oct3135753545345100
9480531400848667
10112010022210112
1132765202495854
1210690361980b14
134a66665ccb370
141d9345789578c
15ce39874d8dc7
hex65df5d95ca40

112010022210112 has 112 divisors (see below), whose sum is σ = 251988245669440. Its totient is φ = 48971691804672.

The previous prime is 112010022210109. The next prime is 112010022210161. The reversal of 112010022210112 is 211012220010211.

112010022210112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180961378 + ... + 181579294.

It is an arithmetic number, because the mean of its divisors is an integer number (2249895050620).

Almost surely, 2112010022210112 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 112010022210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125994122834720).

112010022210112 is an abundant number, since it is smaller than the sum of its proper divisors (139978223459328).

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

112010022210112 is a wasteful number, since it uses less digits than its factorization.

112010022210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629428 (or 629418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112010022210112 its reverse (211012220010211), we get a palindrome (323022242220323).

The spelling of 112010022210112 in words is "one hundred twelve trillion, ten billion, twenty-two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 988 1216 1976 3952 7904 11467 15808 22934 45868 91736 149071 183472 217873 298142 366944 435746 596284 617917 733888 871492 1192568 1235834 1742984 2385136 2471668 2832349 3485968 4770272 4943336 5664698 6971936 8032921 9540544 9886672 11329396 11740423 13943872 16065842 19773344 22658792 23480846 32131684 39546688 45317584 46961692 64263368 90635168 93923384 128526736 152625499 181270336 187846768 257053472 305250998 375693536 514106944 610501996 751387072 1221003992 2442007984 4884015968 7085654239 9768031936 14171308478 28342616956 56685233912 92113505107 113370467824 134627430541 184227010214 226740935648 269254861082 368454020428 453481871296 538509722164 736908040856 1077019444328 1473816081712 1750156597033 2154038888656 2947632163424 3500313194066 4308077777312 5895264326848 7000626388132 8616155554624 14001252776264 28002505552528 56005011105056 112010022210112