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212000222011000 = 23532324138246477
BaseRepresentation
bin110000001101000000100101…
…111011001101111001111000
31000210122000121222110111012111
4300031000211323031321320
5210241402423313323000
62030515320230022104
762440340063360443
oct6015004573157170
91023560558414174
10212000222011000
1161605875544315
121b93b0914a7934
13913a6c5971607
143a4cc18cb465a
15197992b715cba
hexc0d025ecde78

212000222011000 has 128 divisors (see below), whose sum is σ = 519797173484160. Its totient is φ = 80776557312000.

The previous prime is 212000222010959. The next prime is 212000222011009. The reversal of 212000222011000 is 110222000212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000222011009) by changing a digit.

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, 13580239 + ... + 24666238.

It is an arithmetic number, because the mean of its divisors is an integer number (4060915417845).

Almost surely, 2212000222011000 is an apocalyptic number.

212000222011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000222011000 is an abundant number, since it is smaller than the sum of its proper divisors (307796951473160).

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

212000222011000 is a wasteful number, since it uses less digits than its factorization.

212000222011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38246762 (or 38246748 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212000222011000 its reverse (110222000212), we get a palindrome (212110444011212).

The spelling of 212000222011000 in words is "two hundred twelve trillion, two hundred twenty-two million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 241 250 460 482 500 575 920 964 1000 1150 1205 1928 2300 2410 2875 4600 4820 5543 5750 6025 9640 11086 11500 12050 22172 23000 24100 27715 30125 44344 48200 55430 60250 110860 120500 138575 221720 241000 277150 554300 692875 1108600 1385750 2771500 5543000 38246477 76492954 152985908 191232385 305971816 382464770 764929540 879668971 956161925 1529859080 1759337942 1912323850 3518675884 3824647700 4398344855 4780809625 7037351768 7649295400 8796689710 9217400957 9561619250 17593379420 18434801914 19123238500 21991724275 35186758840 36869603828 38246477000 43983448550 46087004785 73739207656 87966897100 92174009570 109958621375 175933794200 184348019140 212000222011 219917242750 230435023925 368696038280 424000444022 439834485500 460870047850 848000888044 879668971000 921740095700 1060001110055 1152175119625 1696001776088 1843480191400 2120002220110 2304350239250 4240004440220 4608700478500 5300005550275 8480008880440 9217400957000 10600011100550 21200022201100 26500027751375 42400044402200 53000055502750 106000111005500 212000222011000