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211452135534200 = 235211280191108961
BaseRepresentation
bin110000000101000010001001…
…011011001110111001111000
31000201200121220220001122200202
4300011002021123032321320
5210203412433144043300
62025415434154421332
762352625016240141
oct6005021133167170
91021617826048622
10211452135534200
116141438aa66100
121b870a10431848
1390cab0a340a92
143a304a3548ac8
15196a54e21cad5
hexc050896cee78

211452135534200 has 144 divisors (see below), whose sum is σ = 540394232138880. Its totient is φ = 76890021120000.

The previous prime is 211452135534197. The next prime is 211452135534229. The reversal of 211452135534200 is 2435531254112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1940567720 + ... + 1940676680.

Almost surely, 2211452135534200 is an apocalyptic number.

211452135534200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211452135534200 is an abundant number, since it is smaller than the sum of its proper divisors (328942096604680).

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

211452135534200 is a wasteful number, since it uses less digits than its factorization.

211452135534200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189190 (or 189170 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

Adding to 211452135534200 its reverse (2435531254112), we get a palindrome (213887666788312).

The spelling of 211452135534200 in words is "two hundred eleven trillion, four hundred fifty-two billion, one hundred thirty-five million, five hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 80191 108961 160382 217922 320764 400955 435844 544805 641528 801910 871688 882101 1089610 1198571 1603820 1764202 2004775 2179220 2397142 2724025 3207640 3528404 4009550 4358440 4410505 4794284 5448050 5992855 7056808 8019100 8821010 9588568 9703111 10896100 11985710 13184281 16038200 17642020 19406222 21792200 22052525 23971420 26368562 29964275 35284040 38812444 44105050 47942840 48515555 52737124 59928550 65921405 77624888 88210100 97031110 105474248 119857100 131842810 176420200 194062220 239714200 242577775 263685620 329607025 388124440 485155550 527371240 659214050 970311100 1318428100 1940622200 2636856200 8737691551 17475383102 34950766204 43688457755 69901532408 87376915510 96114607061 174753831020 192229214122 218442288775 349507662040 384458428244 436884577550 480573035305 768916856488 873769155100 961146070610 1057260677671 1747538310200 1922292141220 2114521355342 2402865176525 3844584282440 4229042710684 4805730353050 5286303388355 8458085421368 9611460706100 10572606776710 19222921412200 21145213553420 26431516941775 42290427106840 52863033883550 105726067767100 211452135534200