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112210213213300 = 225267715491070021
BaseRepresentation
bin11001100000110111111001…
…111001100001010001110100
3112201022012011200122022100211
4121200313321321201101310
5104201423004040311200
61034352354343315204
732430630455042656
oct3140677171412164
9481265150568324
10112210213213300
11328320a2054524
121070311144bb04
134a7c4baa74777
141d9d0090966d6
15ce8ca25dbaba
hex660df9e61474

112210213213300 has 72 divisors (see below), whose sum is σ = 244013487996600. Its totient is φ = 44788811558400.

The previous prime is 112210213213283. The next prime is 112210213213361. The reversal of 112210213213300 is 3312312012211.

It can be written as a sum of positive squares in 12 ways, for example, as 14180134985104 + 98030078228196 = 3765652^2 + 9901014^2 .

It is a super-3 number, since 3×1122102132133003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 104332290 + ... + 105402310.

It is an arithmetic number, because the mean of its divisors is an integer number (3389076222175).

Almost surely, 2112210213213300 is an apocalyptic number.

112210213213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112210213213300 is an abundant number, since it is smaller than the sum of its proper divisors (131803274783300).

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

112210213213300 is a wasteful number, since it uses less digits than its factorization.

112210213213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072261 (or 1072254 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 112210213213300 its reverse (3312312012211), we get a palindrome (115522525225511).

The spelling of 112210213213300 in words is "one hundred twelve trillion, two hundred ten billion, two hundred thirteen million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 677 1354 1549 2708 3098 3385 6196 6770 7745 13540 15490 16925 30980 33850 38725 67700 77450 154900 1048673 1070021 2097346 2140042 4194692 4280084 5243365 5350105 10486730 10700210 20973460 21400420 26216825 26750525 52433650 53501050 104867300 107002100 724404217 1448808434 1657462529 2897616868 3314925058 3622021085 6629850116 7244042170 8287312645 14488084340 16574625290 18110105425 33149250580 36220210850 41436563225 72440421700 82873126450 165746252900 1122102132133 2244204264266 4488408528532 5610510660665 11221021321330 22442042642660 28052553303325 56105106606650 112210213213300