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211011022121200 = 24527312431002559
BaseRepresentation
bin101111111110100111010101…
…000001000110100011110000
31000200010110022221100111200221
4233332213111001012203300
5210124201033130334300
62024441043023222424
762306020560136240
oct5776472501064360
91020113287314627
10211011022121200
11612642a9a3a034
121b7bb424447a14
13909833c084332
143a16db8d87b20
15195dd3320731a
hexbfe9d50468f0

211011022121200 has 120 divisors (see below), whose sum is σ = 598065525800960. Its totient is φ = 70012873670400.

The previous prime is 211011022121183. The next prime is 211011022121297. The reversal of 211011022121200 is 2121220110112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 1215414480 + ... + 1215588079.

Almost surely, 2211011022121200 is an apocalyptic number.

211011022121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011022121200 is an abundant number, since it is smaller than the sum of its proper divisors (387054503679760).

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

211011022121200 is a wasteful number, since it uses less digits than its factorization.

211011022121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431002615 (or 2431002604 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211011022121200 its reverse (2121220110112), we get a palindrome (213132242231312).

The spelling of 211011022121200 in words is "two hundred eleven trillion, eleven billion, twenty-two million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 140 155 175 200 217 248 280 310 350 400 434 496 560 620 700 775 868 1085 1240 1400 1550 1736 2170 2480 2800 3100 3472 4340 5425 6200 8680 10850 12400 17360 21700 43400 86800 2431002559 4862005118 9724010236 12155012795 17017017913 19448020472 24310025590 34034035826 38896040944 48620051180 60775063975 68068071652 75361079329 85085089565 97240102360 121550127950 136136143304 150722158658 170170179130 194480204720 243100255900 272272286608 301444317316 340340358260 376805396645 425425447825 486200511800 527527555303 602888634632 680680716520 753610793290 850850895650 972401023600 1055055110606 1205777269264 1361361433040 1507221586580 1701701791300 1884026983225 2110110221212 2637637776515 3014443173160 3403403582600 3768053966450 4220220442424 5275275553030 6028886346320 6806807165200 7536107932900 8440440884848 10550551106060 13188188882575 15072215865800 21101102212120 26376377765150 30144431731600 42202204424240 52752755530300 105505511060600 211011022121200