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212300230220300 = 225247179277911003
BaseRepresentation
bin110000010001010111111111…
…110011101101101000001100
31000211200201000001211120222202
4300101113333303231220030
5210311311332414022200
62031305213535101032
762501120421153665
oct6021277763555014
91024621001746882
10212300230220300
1161711027338362
121b989259671778
13915ca973b59a1
143a5d55915236c
1519826399971d5
hexc115ffceda0c

212300230220300 has 144 divisors (see below), whose sum is σ = 474830443906560. Its totient is φ = 82350499511040.

The previous prime is 212300230220153. The next prime is 212300230220383. The reversal of 212300230220300 is 3022032003212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232584599 + ... + 233495601.

It is an arithmetic number, because the mean of its divisors is an integer number (3297433638240).

Almost surely, 2212300230220300 is an apocalyptic number.

212300230220300 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 212300230220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237415221953280).

212300230220300 is an abundant number, since it is smaller than the sum of its proper divisors (262530213686260).

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

212300230220300 is a wasteful number, since it uses less digits than its factorization.

212300230220300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911520 (or 911513 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 212300230220300 its reverse (3022032003212), we get a palindrome (215322262223512).

The spelling of 212300230220300 in words is "two hundred twelve trillion, three hundred billion, two hundred thirty million, two hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 179 188 235 277 358 470 554 716 895 940 1108 1175 1385 1790 2350 2770 3580 4475 4700 5540 6925 8413 8950 13019 13850 16826 17900 26038 27700 33652 42065 49583 52076 65095 84130 99166 130190 168260 198332 210325 247915 260380 325475 420650 495830 650950 841300 911003 991660 1239575 1301900 1822006 2330401 2479150 3644012 4555015 4660802 4958300 9110030 9321604 11652005 18220060 22775075 23304010 42817141 45550150 46608020 58260025 85634282 91100300 116520050 163069537 171268564 214085705 233040100 252347831 326139074 428171410 504695662 652278148 815347685 856342820 1009391324 1070428525 1261739155 1630695370 2140857050 2523478310 3261390740 4076738425 4281714100 5046956620 6308695775 7664268239 8153476850 11860348057 12617391550 15328536478 16306953700 23720696114 25234783100 30657072956 38321341195 45170261749 47441392228 59301740285 76642682390 90340523498 118603480570 153285364780 180681046996 191606705975 225851308745 237206961140 296508701425 383213411950 451702617490 593017402850 766426823900 903405234980 1129256543725 1186034805700 2123002302203 2258513087450 4246004604406 4517026174900 8492009208812 10615011511015 21230023022030 42460046044060 53075057555075 106150115110150 212300230220300