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211200100202212 = 2211237101494323623
BaseRepresentation
bin110000000001010111011010…
…111100101111011011100100
31000200210112101010010012222021
4300001113122330233123210
5210140300301122432322
62025103553034512524
762325463240251652
oct6001273274573344
91020715333105867
10211200100202212
1161327506652900
121b82bbb2295744
1390b01126b6944
143a221d46c1dd2
151963bec8b24c7
hexc015daf2f6e4

211200100202212 has 144 divisors (see below), whose sum is σ = 421468717211136. Its totient is φ = 92458019808000.

The previous prime is 211200100202207. The next prime is 211200100202239. The reversal of 211200100202212 is 212202001002112.

It is a happy 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, 8940431833 + ... + 8940455455.

It is an arithmetic number, because the mean of its divisors is an integer number (2926866091744).

Almost surely, 2211200100202212 is an apocalyptic number.

211200100202212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211200100202212 is a deficient number, since it is larger than the sum of its proper divisors (210268617008924).

211200100202212 is a wasteful number, since it uses less digits than its factorization.

211200100202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28730 (or 28717 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211200100202212 its reverse (212202001002112), we get a palindrome (423402101204324).

The spelling of 211200100202212 in words is "two hundred eleven trillion, two hundred billion, one hundred million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 4 11 22 37 44 74 101 121 148 202 242 404 407 484 814 1111 1628 2222 3737 4444 4477 4943 7474 8954 9886 12221 14948 17908 19772 23623 24442 41107 47246 48884 54373 82214 94492 108746 164428 182891 217492 259853 365782 452177 499243 519706 598103 731564 874051 904354 998486 1039412 1196206 1748102 1808708 1996972 2011801 2385923 2392412 2858383 3496204 4023602 4771846 5491673 5716766 8047204 9543692 9614561 10983346 11433532 18471991 19229122 21966692 22129811 26245153 36943982 38458244 44259622 52490306 60408403 73887964 88279151 88519244 104980612 105760171 116768489 120816806 176558302 203191901 211520342 233536978 241633612 288696683 353116604 406383802 423040684 467073956 577393366 812767604 971070661 1154786732 1284453379 1942141322 2235110911 2568906758 3884282644 4320434093 4470221822 5137813516 8640868186 8940443644 10681777271 11793617389 14128987169 17281736372 21363554542 23587234778 28257974338 42727109084 47174469556 47524775023 56515948676 95049550046 129729791279 190099100092 259459582558 436363843393 518919165116 522772525253 872727686786 1045545050506 1427027704069 1745455373572 2091090101012 2854055408138 4800002277323 5708110816276 9600004554646 19200009109292 52800025050553 105600050101106 211200100202212