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110010110112 = 2532731113643
BaseRepresentation
bin110011001110100011…
…1010001000010100000
3101111221210102121211200
41212131013101002200
53300300042010422
6122312110241200
710643103336000
oct1463507210240
9344853377750
10110010110112
1142722925a81
12193a21b6200
13a4b2629916
145478696000
152cdce432ac
hex199d1d10a0

110010110112 has 144 divisors (see below), whose sum is σ = 364829774400. Its totient is φ = 31431431808.

The previous prime is 110010110107. The next prime is 110010110131. The reversal of 110010110112 is 211011010011.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110010110094 and 110010110103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458038 + ... + 655605.

It is an arithmetic number, because the mean of its divisors is an integer number (2533540100).

Almost surely, 2110010110112 is an apocalyptic number.

110010110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110010110112 is an abundant number, since it is smaller than the sum of its proper divisors (254819664288).

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

110010110112 is a wasteful number, since it uses less digits than its factorization.

110010110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113680 (or 1113655 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110010110112 its reverse (211011010011), we get a palindrome (321021120123).

The spelling of 110010110112 in words is "one hundred ten billion, ten million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 343 392 441 504 588 672 686 784 882 1008 1029 1176 1372 1568 1764 2016 2058 2352 2744 3087 3528 4116 4704 5488 6174 7056 8232 10976 12348 14112 16464 24696 32928 49392 98784 1113643 2227286 3340929 4454572 6681858 7795501 8909144 10022787 13363716 15591002 17818288 20045574 23386503 26727432 31182004 35636576 40091148 46773006 53454864 54568507 62364008 70159509 80182296 93546012 106909728 109137014 124728016 140319018 160364592 163705521 187092024 218274028 249456032 280638036 320729184 327411042 374184048 381979549 436548056 491116563 561276072 654822084 748368096 763959098 873096112 982233126 1122552144 1145938647 1309644168 1527918196 1746192224 1964466252 2245104288 2291877294 2619288336 3055836392 3437815941 3928932504 4583754588 5238576672 6111672784 6875631882 7857865008 9167509176 12223345568 13751263764 15715730016 18335018352 27502527528 36670036704 55005055056 110010110112