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212102121110010 = 235375471429244457
BaseRepresentation
bin110000001110011111011111…
…100101011011100111111010
31000210222202122111121001112120
4300032133133211123213322
5210300040121001010020
62031034211433222110
762450605200413655
oct6016373745334772
91023882574531476
10212102121110010
116164500596a62a
121b95698b261936
1391471b4a5a781
143a53b2424689c
15197c3e2531740
hexc0e7df95b9fa

212102121110010 has 128 divisors (see below), whose sum is σ = 524127495640320. Its totient is φ = 54892630001664.

The previous prime is 212102121109993. The next prime is 212102121110023. The reversal of 212102121110010 is 10011121201212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 867523702 + ... + 867768158.

It is an arithmetic number, because the mean of its divisors is an integer number (4094746059690).

Almost surely, 2212102121110010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102121110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262063747820160).

212102121110010 is an abundant number, since it is smaller than the sum of its proper divisors (312025374530310).

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

212102121110010 is a wasteful number, since it uses less digits than its factorization.

212102121110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246480.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212102121110010 its reverse (10011121201212), we get a palindrome (222113242311222).

The spelling of 212102121110010 in words is "two hundred twelve trillion, one hundred two billion, one hundred twenty-one million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 547 555 1094 1110 1429 1641 2735 2858 3282 4287 5470 7145 8205 8574 14290 16410 20239 21435 40478 42870 52873 60717 101195 105746 121434 158619 202390 244457 264365 303585 317238 488914 528730 607170 733371 781663 793095 1222285 1466742 1563326 1586190 2344989 2444570 3666855 3908315 4689978 7333710 7816630 9044909 11724945 18089818 23449890 27134727 28921531 45224545 54269454 57843062 86764593 90449090 133717979 135673635 144607655 173529186 267435958 271347270 289215310 349329053 401153937 433822965 668589895 698658106 802307874 867645930 1047987159 1337179790 1746645265 2005769685 2095974318 3493290530 4011539370 4947565223 5239935795 9895130446 10479871590 12925174961 14842695669 24737826115 25850349922 29685391338 38775524883 49475652230 64625874805 74213478345 77551049766 129251749610 148426956690 191082991991 193877624415 382165983982 387755248830 573248975973 955414959955 1146497951946 1910829919910 2866244879865 5732489759730 7070070703667 14140141407334 21210212111001 35350353518335 42420424222002 70700707036670 106051060555005 212102121110010