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112213244001040 = 245713130711793349
BaseRepresentation
bin11001100000111010101110…
…100011000011101100010000
3112201022110222220121021112121
4121200322232203003230100
5104202000210431013130
61034354015211504024
732431065536234560
oct3140725643035420
9481273886537477
10112213244001040
1132833407933186
1210703818458014
134a7c8819486b0
141d9d2157d4da0
15ce8dcd712d7a
hex660eae8c3b10

112213244001040 has 160 divisors (see below), whose sum is σ = 321348219897600. Its totient is φ = 35486467172352.

The previous prime is 112213244000933. The next prime is 112213244001049. The reversal of 112213244001040 is 40100442312211.

It is a junction number, because it is equal to n+sod(n) for n = 112213244000996 and 112213244001014.

It is not an unprimeable number, because it can be changed into a prime (112213244001049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3618286 + ... + 15411634.

It is an arithmetic number, because the mean of its divisors is an integer number (2008426374360).

Almost surely, 2112213244001040 is an apocalyptic number.

112213244001040 is a gapful number since it is divisible by the number (10) 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 112213244001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160674109948800).

112213244001040 is an abundant number, since it is smaller than the sum of its proper divisors (209134975896560).

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

112213244001040 is a wasteful number, since it uses less digits than its factorization.

112213244001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11794689 (or 11794683 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 112213244001040 its reverse (40100442312211), we get a palindrome (152313686313251).

The spelling of 112213244001040 in words is "one hundred twelve trillion, two hundred thirteen billion, two hundred forty-four million, one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1307 1456 1820 2614 3640 5228 6535 7280 9149 10456 13070 16991 18298 20912 26140 33982 36596 45745 52280 67964 73192 84955 91490 104560 118937 135928 146384 169910 182980 237874 271856 339820 365960 475748 594685 679640 731920 951496 1189370 1359280 1902992 2378740 4757480 9514960 11793349 23586698 47173396 58966745 82553443 94346792 117933490 153313537 165106886 188693584 235866980 306627074 330213772 412767215 471733960 613254148 660427544 766567685 825534430 943467920 1073194759 1226508296 1320855088 1533135370 1651068860 2146389518 2453016592 3066270740 3302137720 4292779036 5365973795 6132541480 6604275440 8585558072 10731947590 12265082960 15413907143 17171116144 21463895180 30827814286 42927790360 61655628572 77069535715 85855580720 107897350001 123311257144 154139071430 200380792859 215794700002 246622514288 308278142860 400761585718 431589400004 539486750005 616556285720 801523171436 863178800008 1001903964295 1078973500010 1233112571440 1402665550013 1603046342872 1726357600016 2003807928590 2157947000020 2805331100026 3206092685744 4007615857180 4315894000040 5610662200052 7013327750065 8015231714360 8631788000080 11221324400104 14026655500130 16030463428720 22442648800208 28053311000260 56106622000520 112213244001040