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22112112110112 = 2532731377677049
BaseRepresentation
bin1010000011100011000001…
…00101100110101000100000
32220021220020010000122101100
411001301200211212220200
510344241101200010422
6115010055234434400
74441355515522563
oct501614045465040
986256203018340
1022112112110112
11705576a908582
122591585732a00
13c452177b2cab
145663366104da
152852c05b67ac
hex141c60966a20

22112112110112 has 144 divisors (see below), whose sum is σ = 64207990337400. Its totient is φ = 7216670785536.

The previous prime is 22112112110107. The next prime is 22112112110159. The reversal of 22112112110112 is 21101121121122.

It is a happy number.

22112112110112 is a `hidden beast` number, since 221 + 121 + 1 + 211 + 0 + 112 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19747393990416 + 2364718119696 = 4443804^2 + 1537764^2 .

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 (18).

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, 958237 + ... + 6718812.

Almost surely, 222112112110112 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 22112112110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32103995168700).

22112112110112 is an abundant number, since it is smaller than the sum of its proper divisors (42095878227288).

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

22112112110112 is a wasteful number, since it uses less digits than its factorization.

22112112110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7677275 (or 7677264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 22112112110112 its reverse (21101121121122), we get a palindrome (43213233231234).

The spelling of 22112112110112 in words is "twenty-two trillion, one hundred twelve billion, one hundred twelve million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 137 144 146 219 274 288 292 411 438 548 584 657 822 876 1096 1168 1233 1314 1644 1752 2192 2336 2466 2628 3288 3504 4384 4932 5256 6576 7008 9864 10001 10512 13152 19728 20002 21024 30003 39456 40004 60006 80008 90009 120012 160016 180018 240024 320032 360036 480048 720072 960096 1440144 2880288 7677049 15354098 23031147 30708196 46062294 61416392 69093441 92124588 122832784 138186882 184249176 245665568 276373764 368498352 552747528 560424577 736996704 1051755713 1105495056 1120849154 1681273731 2103511426 2210990112 2241698308 3155267139 3362547462 4207022852 4483396616 5043821193 6310534278 6725094924 8414045704 8966793232 9465801417 10087642386 12621068556 13450189848 16828091408 17933586464 18931602834 20175284772 25242137112 26900379696 33656182816 37863205668 40350569544 50484274224 53800759392 75726411336 76778167049 80701139088 100968548448 151452822672 153556334098 161402278176 230334501147 302905645344 307112668196 460669002294 614225336392 691003503441 921338004588 1228450672784 1382007006882 1842676009176 2456901345568 2764014013764 3685352018352 5528028027528 7370704036704 11056056055056 22112112110112