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212212120302 = 2327213101183247
BaseRepresentation
bin1100010110100011010…
…0111111101011101110
3202021202102112200012100
43011220310333223232
511434102300322202
6241253334115530
721221546155200
oct3055064775356
9667672480170
10212212120302
1181aa9233a06
12351654abba6
131701c3c2970
14a3b1d58770
1557c064541c
hex3168d3faee

212212120302 has 144 divisors (see below), whose sum is σ = 581710514112. Its totient is φ = 55413590400.

The previous prime is 212212120291. The next prime is 212212120343. The reversal of 212212120302 is 203021212212.

212212120302 is a `hidden beast` number, since 21 + 221 + 2 + 120 + 302 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1066443 + ... + 1249689.

It is an arithmetic number, because the mean of its divisors is an integer number (4039656348).

Almost surely, 2212212120302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212212120302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290855257056).

212212120302 is an abundant number, since it is smaller than the sum of its proper divisors (369498393810).

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

212212120302 is a wasteful number, since it uses less digits than its factorization.

212212120302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183383 (or 183373 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212212120302 its reverse (203021212212), we get a palindrome (415233332514).

The spelling of 212212120302 in words is "two hundred twelve billion, two hundred twelve million, one hundred twenty thousand, three hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 101 117 126 147 182 202 234 273 294 303 441 546 606 637 707 819 882 909 1274 1313 1414 1638 1818 1911 2121 2626 3822 3939 4242 4949 5733 6363 7878 9191 9898 11466 11817 12726 14847 18382 23634 27573 29694 44541 55146 64337 82719 89082 128674 165438 183247 193011 366494 386022 549741 579033 1099482 1158066 1282729 1649223 2382211 2565458 3298446 3848187 4764422 7146633 7696374 8979103 11544561 14293266 16675477 17958206 18507947 21439899 23089122 26937309 33350954 37015894 42879798 50026431 53874618 55523841 80811927 100052862 111047682 116728339 129555629 150079293 161623854 166571523 233456678 240603311 259111258 300158586 333143046 350185017 388666887 481206622 700370034 721809933 777333774 906889403 1050555051 1166000661 1443619866 1684223177 1813778806 2101110102 2165429799 2332001322 2720668209 3368446354 4330859598 5052669531 5441336418 8162004627 10105339062 11789562239 15158008593 16324009254 23579124478 30316017186 35368686717 70737373434 106106060151 212212120302