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112012211012000 = 2553132165698537
BaseRepresentation
bin11001011101111111100000…
…000011000100000110100000
3112200121021002120120022110212
4121131333200003010012200
5104140202002004341000
61034121411021113252
732410421003101655
oct3135774003040640
9480537076508425
10112012211012000
1132766125a67032
12106908729b8828
134a6692460ba00
141d935c4459c2c
15ce3a64742c35
hex65dfe00c41a0

112012211012000 has 144 divisors (see below), whose sum is σ = 298012797357912. Its totient is φ = 41358354585600.

The previous prime is 112012211011999. The next prime is 112012211012021. The reversal of 112012211012000 is 210112210211.

It can be written as a sum of positive squares in 12 ways, for example, as 50847110672656 + 61165100339344 = 7130716^2 + 7820812^2 .

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, 82173269 + ... + 83525268.

Almost surely, 2112012211012000 is an apocalyptic number.

112012211012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112012211012000 is an abundant number, since it is smaller than the sum of its proper divisors (186000586345912).

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

112012211012000 is a wasteful number, since it uses less digits than its factorization.

112012211012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165698588 (or 165698557 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112012211012000 its reverse (210112210211), we get a palindrome (112222323222211).

The spelling of 112012211012000 in words is "one hundred twelve trillion, twelve billion, two hundred eleven million, twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 169 200 208 250 260 325 338 400 416 500 520 650 676 800 845 1000 1040 1300 1352 1625 1690 2000 2080 2600 2704 3250 3380 4000 4225 5200 5408 6500 6760 8450 10400 13000 13520 16900 21125 26000 27040 33800 42250 52000 67600 84500 135200 169000 338000 676000 165698537 331397074 662794148 828492685 1325588296 1656985370 2154080981 2651176592 3313970740 4142463425 4308161962 5302353184 6627941480 8284926850 8616323924 10770404905 13255882960 16569853700 17232647848 20712317125 21540809810 26511765920 28003052753 33139707400 34465295696 41424634250 43081619620 53852024525 56006105506 66279414800 68930591392 82849268500 86163239240 107704049050 112012211012 132558829600 140015263765 165698537000 172326478480 215408098100 224024422024 269260122625 280030527530 331397074000 344652956960 430816196200 448048844048 538520245250 560061055060 662794148000 700076318825 861632392400 896097688096 1077040490500 1120122110120 1400152637650 1723264784800 2154080981000 2240244220240 2800305275300 3500381594125 4308161962000 4480488440480 5600610550600 7000763188250 8616323924000 11201221101200 14001526376500 22402442202400 28003052753000 56006105506000 112012211012000