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211220320000 = 28541320127
BaseRepresentation
bin1100010010110110110…
…1100100111100000000
3202012012022021222221211
43010231231210330000
511430034400220000
6241011104255504
721155144045134
oct3045555447400
9665168258854
10211220320000
118163a400738
1234b29311594
1316bc1a96a91
14a31a3433c4
1557635337ba
hex312db64f00

211220320000 has 90 divisors (see below), whose sum is σ = 526851203648. Its totient is φ = 84488064000.

The previous prime is 211220319929. The next prime is 211220320013. The reversal of 211220320000 is 23022112.

It is a super-2 number, since 2×2112203200002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 500064 + ... + 820063.

Almost surely, 2211220320000 is an apocalyptic number.

211220320000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220320000 is an abundant number, since it is smaller than the sum of its proper divisors (315630883648).

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

211220320000 is an frugal number, since it uses more digits than its factorization.

211220320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320163 (or 1320134 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 211220320000 its reverse (23022112), we get a palindrome (211243342112).

The spelling of 211220320000 in words is "two hundred eleven billion, two hundred twenty million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 160000 1320127 2640254 5280508 6600635 10561016 13201270 21122032 26402540 33003175 42244064 52805080 66006350 84488128 105610160 132012700 165015875 168976256 211220320 264025400 330031750 337952512 422440640 528050800 660063500 825079375 844881280 1056101600 1320127000 1650158750 1689762560 2112203200 2640254000 3300317500 4224406400 5280508000 6600635000 8448812800 10561016000 13201270000 21122032000 26402540000 42244064000 52805080000 105610160000 211220320000