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212321301313200 = 243521511171751111
BaseRepresentation
bin110000010001101011100111…
…101111100011011010110000
31000211202201101112211000110220
4300101223213233203122300
5210312133011114010300
62031323020445453040
762502464530406502
oct6021534757433260
91024681345730426
10212321301313200
1161719a5a428322
121b99135a271180
139161a7495c8b1
143a605977add72
151982e6e788da0
hexc11ae7be36b0

212321301313200 has 120 divisors (see below), whose sum is σ = 684640113728256. Its totient is φ = 56244053280000.

The previous prime is 212321301313193. The next prime is 212321301313213. The reversal of 212321301313200 is 2313103123212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 585694356 + ... + 586056755.

Almost surely, 2212321301313200 is an apocalyptic number.

212321301313200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212321301313200 is an abundant number, since it is smaller than the sum of its proper divisors (472318812415056).

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

212321301313200 is a wasteful number, since it uses less digits than its factorization.

212321301313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171751283 (or 1171751272 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 212321301313200 its reverse (2313103123212), we get a palindrome (214634404436412).

The spelling of 212321301313200 in words is "two hundred twelve trillion, three hundred twenty-one billion, three hundred one million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 151 200 240 300 302 400 453 600 604 755 906 1200 1208 1510 1812 2265 2416 3020 3624 3775 4530 6040 7248 7550 9060 11325 12080 15100 18120 22650 30200 36240 45300 60400 90600 181200 1171751111 2343502222 3515253333 4687004444 5858755555 7030506666 9374008888 11717511110 14061013332 17576266665 18748017776 23435022220 28122026664 29293777775 35152533330 46870044440 56244053328 58587555550 70305066660 87881333325 93740088880 117175111100 140610133320 175762666650 176934417761 234350222200 281220266640 351525333300 353868835522 468700444400 530803253283 703050666600 707737671044 884672088805 1061606506566 1406101333200 1415475342088 1769344177610 2123213013132 2654016266415 2830950684176 3538688355220 4246426026264 4423360444025 5308032532830 7077376710440 8492852052528 8846720888050 10616065065660 13270081332075 14154753420880 17693441776100 21232130131320 26540162664150 35386883552200 42464260262640 53080325328300 70773767104400 106160650656600 212321301313200