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212011112122220 = 225193115303338293
BaseRepresentation
bin110000001101001010101111…
…000001101100011101101100
31000210200001201221010110101002
4300031022233001230131230
5210242042224200402340
62030524321010535432
762441203666654025
oct6015125701543554
91023601657113332
10212011112122220
116160a453747034
121b941210597578
13913b73cba23c8
143a4d56d33bc4c
151979d677ea715
hexc0d2af06c76c

212011112122220 has 96 divisors (see below), whose sum is σ = 470253125422080. Its totient is φ = 80067383573760.

The previous prime is 212011112122217. The next prime is 212011112122253. The reversal of 212011112122220 is 22221211110212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212011112122192 and 212011112122201.

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 31 ways as a sum of consecutive naturals, for example, 626539394 + ... + 626877686.

It is an arithmetic number, because the mean of its divisors is an integer number (4898470056480).

Almost surely, 2212011112122220 is an apocalyptic number.

212011112122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212011112122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235126562711040).

212011112122220 is an abundant number, since it is smaller than the sum of its proper divisors (258242013299860).

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

212011112122220 is a wasteful number, since it uses less digits than its factorization.

212011112122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343935 (or 343933 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212011112122220 its reverse (22221211110212), we get a palindrome (234232323232432).

The spelling of 212011112122220 in words is "two hundred twelve trillion, eleven billion, one hundred twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 311 380 622 1244 1555 3110 5303 5909 6220 10606 11818 21212 23636 26515 29545 53030 59090 100757 106060 118180 201514 338293 403028 503785 676586 1007570 1353172 1649233 1691465 2015140 3298466 3382930 6427567 6596932 6765860 8246165 12855134 16492330 25710268 31335427 32137835 32984660 62670854 64275670 105209123 125341708 128551340 156677135 210418246 313354270 420836492 526045615 626708540 1052091230 1793967779 1998973337 2104182460 3587935558 3997946674 7175871116 7995893348 8969838895 9994866685 17939677790 19989733370 34085387801 35879355580 39979466740 68170775602 136341551204 170426939005 340853878010 557923979269 681707756020 1115847958538 2231695917076 2789619896345 5579239792690 10600555606111 11158479585380 21201111212222 42402222424444 53002778030555 106005556061110 212011112122220