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212321230200 = 233252891325351
BaseRepresentation
bin1100010110111101010…
…1001101110101111000
3202022001000212000211200
43011233111031311320
511434313213331300
6241312232454200
721224342451642
oct3055725156570
9668030760750
10212321230200
1182054887882
1235195b4a360
1317038ba5b31
14a3c263b892
1557c9ee9200
hex316f54dd78

212321230200 has 144 divisors (see below), whose sum is σ = 721057755600. Its totient is φ = 55982784000.

The previous prime is 212321230189. The next prime is 212321230217. The reversal of 212321230200 is 2032123212.

212321230200 is a `hidden beast` number, since 2 + 1 + 232 + 1 + 230 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 502476 + ... + 822875.

It is an arithmetic number, because the mean of its divisors is an integer number (5007345525).

Almost surely, 2212321230200 is an apocalyptic number.

212321230200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212321230200 is an abundant number, since it is smaller than the sum of its proper divisors (508736525400).

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

212321230200 is a wasteful number, since it uses less digits than its factorization.

212321230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325462 (or 1325450 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212321230200 its reverse (2032123212), we get a palindrome (214353353412).

The spelling of 212321230200 in words is "two hundred twelve billion, three hundred twenty-one million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 89 90 100 120 150 178 180 200 225 267 300 356 360 445 450 534 600 712 801 890 900 1068 1335 1602 1780 1800 2136 2225 2670 3204 3560 4005 4450 5340 6408 6675 8010 8900 10680 13350 16020 17800 20025 26700 32040 40050 53400 80100 160200 1325351 2650702 3976053 5301404 6626755 7952106 10602808 11928159 13253510 15904212 19880265 23856318 26507020 31808424 33133775 39760530 47712636 53014040 59640795 66267550 79521060 95425272 99401325 117956239 119281590 132535100 159042120 198802650 235912478 238563180 265070200 298203975 353868717 397605300 471824956 477126360 589781195 596407950 707737434 795210600 943649912 1061606151 1179562390 1192815900 1415474868 1769343585 2123212302 2359124780 2385631800 2830949736 2948905975 3538687170 4246424604 4718249560 5308030755 5897811950 7077374340 8492849208 8846717925 10616061510 11795623900 14154748680 17693435850 21232123020 23591247800 26540153775 35386871700 42464246040 53080307550 70773743400 106160615100 212321230200