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212200200201000 = 23353116430309097
BaseRepresentation
bin110000001111111010110101…
…100011011110001100101000
31000211100010210210201010000010
4300033322311203132030220
5210303142002222413000
62031151232020411520
762460646531056444
oct6017726543361450
91024303723633003
10212200200201000
1161682665a69320
121b9719a1846ba0
1391535155c555b
143a5878a119824
15197ec32cccd50
hexc0feb58de328

212200200201000 has 128 divisors (see below), whose sum is σ = 722252317887360. Its totient is φ = 51442472768000.

The previous prime is 212200200200987. The next prime is 212200200201007. The reversal of 212200200201000 is 102002002212.

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

It is not an unprimeable number, because it can be changed into a prime (212200200201007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3215121549 + ... + 3215187548.

It is an arithmetic number, because the mean of its divisors is an integer number (5642596233495).

Almost surely, 2212200200201000 is an apocalyptic number.

212200200201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200200201000 is an abundant number, since it is smaller than the sum of its proper divisors (510052117686360).

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

212200200201000 is a wasteful number, since it uses less digits than its factorization.

212200200201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430309132 (or 6430309118 counting only the distinct ones).

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

Adding to 212200200201000 its reverse (102002002212), we get a palindrome (212302202203212).

The spelling of 212200200201000 in words is "two hundred twelve trillion, two hundred billion, two hundred million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 6430309097 12860618194 19290927291 25721236388 32151545485 38581854582 51442472776 64303090970 70733400067 77163709164 96454636455 128606181940 141466800134 154327418328 160757727425 192909272910 212200200201 257212363880 282933600268 321515454850 353667000335 385818545820 424400400402 482273182275 565867200536 643030909700 707334000670 771637091640 803788637125 848800800804 964546364550 1061001001005 1286061819400 1414668001340 1607577274250 1697601601608 1768335001675 1929092729100 2122002002010 2411365911375 2829336002680 3215154548500 3536670003350 3858185458200 4244004004020 4822731822750 5305005005025 6430309097000 7073340006700 8488008008040 8841675008375 9645463645500 10610010010050 14146680013400 17683350016750 19290927291000 21220020020100 26525025025125 35366700033500 42440040040200 53050050050250 70733400067000 106100100100500 212200200201000