Search a number
-
+
212000323321000 = 2353594338298443
BaseRepresentation
bin110000001101000000101011…
…111101101011110010101000
31000210122000220001002120101201
4300031000223331223302220
5210241403130232233000
62030515334245253544
762440342433450044
oct6015005375536250
91023560801076351
10212000323321000
116160591774aa95
121b93b0bb4042b4
13913a710953466
143a4cc28527024
15197993557896a
hexc0d02bf6bca8

212000323321000 has 128 divisors (see below), whose sum is σ = 505654067318400. Its totient is φ = 83170305100800.

The previous prime is 212000323320983. The next prime is 212000323321037. The reversal of 212000323321000 is 123323000212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21397779 + ... + 29696221.

It is an arithmetic number, because the mean of its divisors is an integer number (3950422400925).

Almost surely, 2212000323321000 is an apocalyptic number.

212000323321000 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 212000323321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252827033659200).

212000323321000 is an abundant number, since it is smaller than the sum of its proper divisors (293653743997400).

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

212000323321000 is a wasteful number, since it uses less digits than its factorization.

212000323321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8298956 (or 8298942 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 212000323321000 its reverse (123323000212), we get a palindrome (212123646321212).

The spelling of 212000323321000 in words is "two hundred twelve trillion, three hundred twenty-three million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 433 472 500 590 866 1000 1180 1475 1732 2165 2360 2950 3464 4330 5900 7375 8660 10825 11800 14750 17320 21650 25547 29500 43300 51094 54125 59000 86600 102188 108250 127735 204376 216500 255470 433000 510940 638675 1021880 1277350 2554700 3193375 5109400 6386750 8298443 12773500 16596886 25547000 33193772 41492215 66387544 82984430 165968860 207461075 331937720 414922150 489608137 829844300 979216274 1037305375 1659688600 1958432548 2074610750 2448040685 3593225819 3916865096 4149221500 4896081370 7186451638 8298443000 9792162740 12240203425 14372903276 17966129095 19584325480 24480406850 28745806552 35932258190 48960813700 61201017125 71864516380 89830645475 97921627400 122402034250 143729032760 179661290950 212000323321 244804068500 359322581900 424000646642 449153227375 489608137000 718645163800 848001293284 898306454750 1060001616605 1696002586568 1796612909500 2120003233210 3593225819000 4240006466420 5300008083025 8480012932840 10600016166050 21200032332100 26500040415125 42400064664200 53000080830250 106000161660500 212000323321000