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212120013233322 = 232236712049634681
BaseRepresentation
bin110000001110110000001010…
…000010011101110010101010
31000211001110211102210002120100
4300032300022002131302222
5210300333241341431242
62031050331103410230
762452110446066535
oct6016601202356252
91024043742702510
10212120013233322
11616516575706a7
121b95a3432b3976
139148aa681a29c
143a549405d1a1c
15197cadd1cb54c
hexc0ec0a09dcaa

212120013233322 has 96 divisors (see below), whose sum is σ = 486774691228800. Its totient is φ = 66617393863680.

The previous prime is 212120013233239. The next prime is 212120013233339. The reversal of 212120013233322 is 223332310021212.

212120013233322 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 2 + 0 + 0 + 1 + 323 + 332 + 2 = 666.

It is a super-2 number, since 2×2121200132333222 (a number of 29 digits) contains 22 as substring.

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, 333897822 + ... + 334532502.

It is an arithmetic number, because the mean of its divisors is an integer number (5070569700300).

Almost surely, 2212120013233322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212120013233322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243387345614400).

212120013233322 is an abundant number, since it is smaller than the sum of its proper divisors (274654677995478).

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

212120013233322 is a wasteful number, since it uses less digits than its factorization.

212120013233322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646828 (or 646825 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 212120013233322 its reverse (223332310021212), we get a palindrome (435452323254534).

The spelling of 212120013233322 in words is "two hundred twelve trillion, one hundred twenty billion, thirteen million, two hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 67 69 134 138 201 207 402 414 603 1206 1541 3082 4623 9246 12049 13869 24098 27738 36147 72294 108441 216882 277127 554254 634681 807283 831381 1269362 1614566 1662762 1904043 2421849 2494143 3808086 4843698 4988286 5712129 7265547 11424258 14531094 14597663 18567509 29195326 37135018 42523627 43792989 55702527 85047254 87585978 111405054 127570881 131378967 167107581 255141762 262757934 334215162 382712643 765425286 978043421 1956086842 2934130263 5868260526 7647271369 8802390789 15294542738 17604781578 22941814107 45883628214 68825442321 137650884642 175887241487 351774482974 512367181723 527661724461 1024734363446 1055323448922 1537101545169 1582985173383 3074203090338 3165970346766 4611304635507 9222609271014 11784445179629 23568890359258 35353335538887 70706671077774 106060006616661 212120013233322