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212212021100200 = 235211243203932367
BaseRepresentation
bin110000010000000101110110…
…001000100111111010101000
31000211101021022121211000020121
4300100011312020213322220
5210303340204400201300
62031200505011333024
762461545466051432
oct6020056610477250
91024337277730217
10212212021100200
1161687681611900
121b9741405b1174
13915467a60c574
143a5918c035652
1519801c597181a
hexc10176227ea8

212212021100200 has 144 divisors (see below), whose sum is σ = 554936681154240. Its totient is φ = 75373402473600.

The previous prime is 212212021100141. The next prime is 212212021100221. The reversal of 212212021100200 is 2001120212212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100925584 + ... + 103006783.

It is an arithmetic number, because the mean of its divisors is an integer number (3853726952460).

Almost surely, 2212212021100200 is an apocalyptic number.

212212021100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212021100200 is an abundant number, since it is smaller than the sum of its proper divisors (342724660054040).

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

212212021100200 is a wasteful number, since it uses less digits than its factorization.

212212021100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203932448 (or 203932428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212212021100200 its reverse (2001120212212), we get a palindrome (214213141312412).

The spelling of 212212021100200 in words is "two hundred twelve trillion, two hundred twelve billion, twenty-one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 121 172 200 215 220 242 275 344 430 440 473 484 550 605 860 946 968 1075 1100 1210 1720 1892 2150 2200 2365 2420 3025 3784 4300 4730 4840 5203 6050 8600 9460 10406 11825 12100 18920 20812 23650 24200 26015 41624 47300 52030 94600 104060 130075 208120 260150 520300 1040600 203932367 407864734 815729468 1019661835 1631458936 2039323670 2243256037 4078647340 4486512074 5098309175 8157294680 8769091781 8973024148 10196618350 11216280185 17538183562 17946048296 20393236700 22432560370 24675816407 35076367124 40786473400 43845458905 44865120740 49351632814 56081400925 70152734248 87690917810 89730241480 96460009591 98703265628 112162801850 123379082035 175381835620 192920019182 197406531256 219227294525 224325603700 246758164070 350763671240 385840038364 438454589050 448651207400 482300047955 493516328140 616895410175 771680076728 876909178100 964600095910 987032656280 1061060105501 1233790820350 1753818356200 1929200191820 2122120211002 2411500239775 2467581640700 3858400383640 4244240422004 4823000479550 4935163281400 5305300527505 8488480844008 9646000959100 10610601055010 19292001918200 21221202110020 26526502637525 42442404220040 53053005275050 106106010550100 212212021100200