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211323321200 = 245217131923561
BaseRepresentation
bin1100010011001111011…
…0011111101101110000
3202012110111010000001002
43010303312133231300
511430242232234300
6241025224101132
721160534410155
oct3046366375560
9665414100032
10211323321200
1181692561aa2
1234b579047a8
1316c0a21b634
14a329cb622c
15576c5cc5d5
hex3133d9fb70

211323321200 has 120 divisors (see below), whose sum is σ = 537999628320. Its totient is φ = 79493324800.

The previous prime is 211323321191. The next prime is 211323321239. The reversal of 211323321200 is 2123323112.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 8957420 + ... + 8980980.

It is an arithmetic number, because the mean of its divisors is an integer number (4483330236).

Almost surely, 2211323321200 is an apocalyptic number.

211323321200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211323321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268999814160).

211323321200 is an abundant number, since it is smaller than the sum of its proper divisors (326676307120).

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

211323321200 is a wasteful number, since it uses less digits than its factorization.

211323321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24915 (or 24904 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 211323321200 its reverse (2123323112), we get a palindrome (213446644312).

The spelling of 211323321200 in words is "two hundred eleven billion, three hundred twenty-three million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1319 1360 1700 2638 3400 5276 6595 6800 10552 13190 21104 22423 23561 26380 32975 44846 47122 52760 65950 89692 94244 105520 112115 117805 131900 179384 188488 224230 235610 263800 358768 376976 400537 448460 471220 527600 560575 589025 801074 896920 942440 1121150 1178050 1602148 1793840 1884880 2002685 2242300 2356100 3204296 4005370 4484600 4712200 6408592 8010740 8969200 9424400 10013425 16021480 20026850 31076959 32042960 40053700 62153918 80107400 124307836 155384795 160214800 248615672 310769590 497231344 528308303 621539180 776923975 1056616606 1243078360 1553847950 2113233212 2486156720 2641541515 3107695900 4226466424 5283083030 6215391800 8452932848 10566166060 12430783600 13207707575 21132332120 26415415150 42264664240 52830830300 105661660600 211323321200