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212002022211200 = 2752135096202457
BaseRepresentation
bin110000001101000010010001…
…001110011011111010000000
31000210122012021102212010121222
4300031002101032123322000
5210241420120141224300
62030520215014334212
762440432513000514
oct6015022116337200
91023565242763558
10212002022211200
1161606609725381
121b93b4b435a368
13913a921901830
143a4cd4a000144
1519799d47ad785
hexc0d09139be80

212002022211200 has 96 divisors (see below), whose sum is σ = 563996726026860. Its totient is φ = 78277669724160.

The previous prime is 212002022211151. The next prime is 212002022211227. The reversal of 212002022211200 is 2112220200212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15279405396544 + 196722616814656 = 3908888^2 + 14025784^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2548059629 + ... + 2548142828.

Almost surely, 2212002022211200 is an apocalyptic number.

212002022211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002022211200 is an abundant number, since it is smaller than the sum of its proper divisors (351994703815660).

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

212002022211200 is a wasteful number, since it uses less digits than its factorization.

212002022211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096202494 (or 5096202477 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212002022211200 its reverse (2112220200212), we get a palindrome (214114242411412).

The spelling of 212002022211200 in words is "two hundred twelve trillion, two billion, twenty-two million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 260 320 325 400 416 520 640 650 800 832 1040 1300 1600 1664 2080 2600 3200 4160 5200 8320 10400 20800 41600 5096202457 10192404914 20384809828 25481012285 40769619656 50962024570 66250631941 81539239312 101924049140 127405061425 132501263882 163078478624 203848098280 254810122850 265002527764 326156957248 331253159705 407696196560 509620245700 530005055528 652313914496 662506319410 815392393120 1019240491400 1060010111056 1325012638820 1630784786240 1656265798525 2038480982800 2120020222112 2650025277640 3261569572480 3312531597050 4076961965600 4240040444224 5300050555280 6625063194100 8153923931200 8480080888448 10600101110560 13250126388200 16307847862400 21200202221120 26500252776400 42400404442240 53000505552800 106001011105600 212002022211200