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213212231121330 = 2345747800075917
BaseRepresentation
bin110000011110101001010111…
…010011000011100110110010
31000221220220000222102121120000
4300132221113103003212302
5210421232122131340310
62033244202523330430
762624034564003120
oct6036512723034662
91027826028377500
10213212231121330
1161a32888044781
121bab5b60980a16
1391c7a9a26075c
143a9175430c910
15199b2158714c0
hexc1ea574c39b2

213212231121330 has 160 divisors (see below), whose sum is σ = 669145094171136. Its totient is φ = 47697325808256.

The previous prime is 213212231121311. The next prime is 213212231121403. The reversal of 213212231121330 is 33121132212312.

213212231121330 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 12 + 2 + 311 + 2 + 1 + 330 = 666.

213212231121330 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213212231121294 and 213212231121303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 399771469 + ... + 400304448.

Almost surely, 2213212231121330 is an apocalyptic number.

213212231121330 is an abundant number, since it is smaller than the sum of its proper divisors (455932863049806).

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

213212231121330 is a wasteful number, since it uses less digits than its factorization.

213212231121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800075990 (or 800075981 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213212231121330 its reverse (33121132212312), we get a palindrome (246333363333642).

The spelling of 213212231121330 in words is "two hundred thirteen trillion, two hundred twelve billion, two hundred thirty-one million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 47 54 63 70 81 90 94 105 126 135 141 162 189 210 235 270 282 315 329 378 405 423 470 567 630 658 705 810 846 945 987 1134 1269 1410 1645 1890 1974 2115 2538 2835 2961 3290 3807 4230 4935 5670 5922 6345 7614 8883 9870 12690 14805 17766 19035 26649 29610 38070 44415 53298 88830 133245 266490 800075917 1600151834 2400227751 4000379585 4800455502 5600531419 7200683253 8000759170 11201062838 12001138755 14401366506 16801594257 21602049759 24002277510 28002657095 33603188514 36003416265 37603568099 43204099518 50404782771 56005314190 64806149277 72006832530 75207136198 84007971285 100809565542 108010248795 112810704297 129612298554 151214348313 168015942570 188017840495 216020497590 225621408594 252023913855 263224976693 302428696626 324030746385 338432112891 376035680990 453643044939 504047827710 526449953386 564053521485 648061492770 676864225782 756071741565 789674930079 907286089878 1015296338673 1128107042970 1316124883465 1512143483130 1579349860158 1692160564455 2030592677346 2268215224695 2369024790237 2632249766930 3045889016019 3384321128910 3948374650395 4536430449390 4738049580474 5076481693365 6091778032038 7107074370711 7896749300790 10152963386730 11845123951185 14214148741422 15229445080095 21321223112133 23690247902370 30458890160190 35535371853555 42642446224266 71070743707110 106606115560665 213212231121330