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210012201011200 = 211527585971543
BaseRepresentation
bin101111110000000101000110…
…101000111100100000000000
31000112120222012101012220021111
4233300011012220330200000
5210011314441424324300
62022354135004333104
762143611055604260
oct5760050650744000
91015528171186244
10210012201011200
1160a097465116a5
121b679931244194
1390250b10cb553
1439c09053377a0
151942d7520b9ba
hexbf0146a3c800

210012201011200 has 144 divisors (see below), whose sum is σ = 595089261224640. Its totient is φ = 72004183080960.

The previous prime is 210012201011159. The next prime is 210012201011243. The reversal of 210012201011200 is 2110102210012.

It is a super-3 number, since 3×2100122010112003 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292627372 + ... + 293344171.

It is an arithmetic number, because the mean of its divisors is an integer number (4132564314060).

Almost surely, 2210012201011200 is an apocalyptic number.

210012201011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210012201011200 is an abundant number, since it is smaller than the sum of its proper divisors (385077060213440).

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

210012201011200 is an equidigital number, since it uses as much as digits as its factorization.

210012201011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585971582 (or 585971557 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210012201011200 its reverse (2110102210012), we get a palindrome (212122303221212).

The spelling of 210012201011200 in words is "two hundred ten trillion, twelve billion, two hundred one million, eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1024 1120 1280 1400 1600 1792 2048 2240 2560 2800 3200 3584 4480 5120 5600 6400 7168 8960 10240 11200 12800 14336 17920 22400 25600 35840 44800 51200 71680 89600 179200 358400 585971543 1171943086 2343886172 2929857715 4101800801 4687772344 5859715430 8203601602 9375544688 11719430860 14649288575 16407203204 18751089376 20509004005 23438861720 29298577150 32814406408 37502178752 41018008010 46877723440 58597154300 65628812816 75004357504 82036016020 93755446880 102545020025 117194308600 131257625632 150008715008 164072032040 187510893760 205090040050 234388617200 262515251264 300017430016 328144064080 375021787520 410180080100 468777234400 525030502528 600034860032 656288128160 750043575040 820360160200 937554468800 1050061005056 1200069720064 1312576256320 1500087150080 1640720320400 1875108937600 2100122010112 2625152512640 3000174300160 3281440640800 3750217875200 4200244020224 5250305025280 6000348600320 6562881281600 7500435750400 8400488040448 10500610050560 13125762563200 15000871500800 21001220101120 26251525126400 30001743001600 42002440202240 52503050252800 105006100505600 210012201011200