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211200022021212 = 223273780392817667
BaseRepresentation
bin110000000001010111010110…
…010010100000010001011100
31000200210112011200000012210200
4300001113112102200101130
5210140300121114134322
62025103541203103500
762325461300603010
oct6001272622402134
91020715150005720
10211200022021212
1161327476504304
121b82bb90071b90
1390b00cc4424b3
143a221c8170540
151963be5abc8ac
hexc015d64a045c

211200022021212 has 144 divisors (see below), whose sum is σ = 626701659118080. Its totient is φ = 58704651006336.

The previous prime is 211200022021199. The next prime is 211200022021273. The reversal of 211200022021212 is 212120220002112.

It is a happy number.

211200022021212 is a `hidden beast` number, since 2 + 11 + 200 + 0 + 220 + 21 + 212 = 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 47 ways as a sum of consecutive naturals, for example, 73546803 + ... + 76364469.

Almost surely, 2211200022021212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211200022021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313350829559040).

211200022021212 is an abundant number, since it is smaller than the sum of its proper divisors (415501637096868).

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

211200022021212 is a wasteful number, since it uses less digits than its factorization.

211200022021212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825760 (or 2825755 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211200022021212 its reverse (212120220002112), we get a palindrome (423320242023324).

The spelling of 211200022021212 in words is "two hundred eleven trillion, two hundred billion, twenty-two million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 8039 9324 16078 24117 32156 48234 56273 72351 96468 112546 144702 168819 225092 289404 297443 337638 506457 594886 675276 892329 1012914 1189772 1784658 2025828 2082101 2676987 2817667 3569316 4164202 5353974 5635334 6246303 8328404 8453001 10707948 11270668 12492606 16906002 18738909 19723669 24985212 25359003 33812004 37477818 39447338 50718006 59171007 74955636 78894676 101436012 104253679 118342014 177513021 208507358 236684028 312761037 355026042 417014716 625522074 710052084 729775753 938283111 1251044148 1459551506 1876566222 2189327259 2919103012 3753132444 4378654518 6567981777 8757309036 13135963554 22651225013 26271927108 45302450026 67953675039 90604900052 135907350078 158558575091 203861025117 271814700156 317117150182 407722050234 475675725273 634234300364 815444100468 838095325481 951351450546 1427027175819 1676190650962 1902702901092 2514285976443 2854054351638 3352381301924 5028571952886 5708108703276 5866667278367 7542857929329 10057143905772 11733334556734 15085715858658 17600001835101 23466669113468 30171431717316 35200003670202 52800005505303 70400007340404 105600011010606 211200022021212