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212012202000 = 24353172078551
BaseRepresentation
bin1100010101110011101…
…0010111100000010000
3202021020111100202211210
43011130322113200100
511433200110431000
6241221433140120
721213600661044
oct3053472274020
9667214322753
10212012202000
1181a063a7375
123510a55a640
1316cb9b66901
14a393598024
1557acd05350
hex315ce97810

212012202000 has 160 divisors (see below), whose sum is σ = 723735177984. Its totient is φ = 53210880000.

The previous prime is 212012201923. The next prime is 212012202041. The reversal of 212012202000 is 202210212.

212012202000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 937276 + ... + 1141275.

Almost surely, 2212012202000 is an apocalyptic number.

212012202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012202000 is an abundant number, since it is smaller than the sum of its proper divisors (511722975984).

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

212012202000 is a wasteful number, since it uses less digits than its factorization.

212012202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078594 (or 2078578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212012202000 its reverse (202210212), we get a palindrome (212214412212).

The spelling of 212012202000 in words is "two hundred twelve billion, twelve million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 500 510 600 680 750 816 850 1000 1020 1200 1275 1360 1500 1700 2000 2040 2125 2550 3000 3400 4080 4250 5100 6000 6375 6800 8500 10200 12750 17000 20400 25500 34000 51000 102000 2078551 4157102 6235653 8314204 10392755 12471306 16628408 20785510 24942612 31178265 33256816 35335367 41571020 49885224 51963775 62356530 70670734 83142040 99770448 103927550 106006101 124713060 141341468 155891325 166284080 176676835 207855100 212012202 249426120 259818875 282682936 311782650 353353670 415710200 424024404 498852240 519637750 530030505 565365872 623565300 706707340 779456625 831420400 848048808 883384175 1039275500 1060061010 1247130600 1413414680 1558913250 1696097616 1766768350 2078551000 2120122020 2494261200 2650152525 2826829360 3117826500 3533536700 4157102000 4240244040 4416920875 5300305050 6235653000 7067073400 8480488080 8833841750 10600610100 12471306000 13250762625 14134146800 17667683500 21201220200 26501525250 35335367000 42402440400 53003050500 70670734000 106006101000 212012202000