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212201430022332 = 223289367180463649
BaseRepresentation
bin110000001111111011111110…
…110110110111100010111100
31000211100020222111211111201100
4300033323332312313202330
5210303202012041203312
62031151554032013100
762461022153300412
oct6017737666674274
91024306874744640
10212201430022332
1161683137193293
121b972085691190
13915368032b59a
143a588655ad2b2
15197eca5c595dc
hexc0fefedb78bc

212201430022332 has 72 divisors (see below), whose sum is σ = 543903004008000. Its totient is φ = 69748478097408.

The previous prime is 212201430022321. The next prime is 212201430022357. The reversal of 212201430022332 is 233220034102212.

212201430022332 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 0 + 1 + 4 + 300 + 22 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 212201430022296 and 212201430022305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89055957 + ... + 91407692.

It is an arithmetic number, because the mean of its divisors is an integer number (7554208389000).

Almost surely, 2212201430022332 is an apocalyptic number.

It is an amenable number.

212201430022332 is an abundant number, since it is smaller than the sum of its proper divisors (331701573985668).

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

212201430022332 is a wasteful number, since it uses less digits than its factorization.

212201430022332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180464115 (or 180464110 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 212201430022332 its reverse (233220034102212), we get a palindrome (445421464124544).

The spelling of 212201430022332 in words is "two hundred twelve trillion, two hundred one billion, four hundred thirty million, twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 367 534 734 801 1068 1101 1468 1602 2202 3204 3303 4404 6606 13212 32663 65326 97989 130652 195978 293967 391956 587934 1175868 180463649 360927298 541390947 721854596 1082781894 1624172841 2165563788 3248345682 6496691364 16061264761 32122529522 48183794283 64245059044 66230159183 96367588566 132460318366 144551382849 192735177132 198690477549 264920636732 289102765698 397380955098 578205531396 596071432647 794761910196 1192142865294 2384285730588 5894484167287 11788968334574 17683452501861 23577936669148 35366905003722 53050357505583 70733810007444 106100715011166 212201430022332