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212330322300200 = 23521397218400937
BaseRepresentation
bin110000010001110100000001…
…011011111000110100101000
31000211210120200020101122020112
4300101310001123320310220
5210312310000002101300
62031331111540513452
762503234216500236
oct6021640133706450
91024716606348215
10212330322300200
1161722869553385
121b9930573ab888
13916288187a620
143a60bb18c9956
1519832eb70de35
hexc11d016f8d28

212330322300200 has 96 divisors (see below), whose sum is σ = 531697214226360. Its totient is φ = 78390814003200.

The previous prime is 212330322300179. The next prime is 212330322300241. The reversal of 212330322300200 is 2003223033212.

It can be written as a sum of positive squares in 12 ways, for example, as 56621802364516 + 155708519935684 = 7524746^2 + 12478322^2 .

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, 21074132 + ... + 29475068.

Almost surely, 2212330322300200 is an apocalyptic number.

212330322300200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212330322300200 is an abundant number, since it is smaller than the sum of its proper divisors (319366891926160).

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

212330322300200 is a wasteful number, since it uses less digits than its factorization.

212330322300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8410687 (or 8410678 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 212330322300200 its reverse (2003223033212), we get a palindrome (214333545333412).

The spelling of 212330322300200 in words is "two hundred twelve trillion, three hundred thirty billion, three hundred twenty-two million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 9721 19442 38884 48605 77768 97210 126373 194420 243025 252746 388840 486050 505492 631865 972100 1010984 1263730 1944200 2527460 3159325 5054920 6318650 8400937 12637300 16801874 25274600 33603748 42004685 67207496 84009370 109212181 168018740 210023425 218424362 336037480 420046850 436848724 546060905 840093700 873697448 1092121810 1680187400 2184243620 2730304525 4368487240 5460609050 10921218100 21842436200 81665508577 163331017154 326662034308 408327542885 653324068616 816655085770 1061651611501 1633310171540 2041637714425 2123303223002 3266620343080 4083275428850 4246606446004 5308258057505 8166550857700 8493212892008 10616516115010 16333101715400 21233032230020 26541290287525 42466064460040 53082580575050 106165161150100 212330322300200