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212011100202220 = 225112945772714617
BaseRepresentation
bin110000001101001010101110…
…010100001110010011101100
31000210200001201002200212012121
4300031022232110032103230
5210242042213122432340
62030524315503242324
762441203463436604
oct6015125624162354
91023601632625177
10212011100202220
116160a447a453a0
121b9412085a93a4
13913b73a58a957
143a4d56b917c04
151979d6674394a
hexc0d2ae50e4ec

212011100202220 has 96 divisors (see below), whose sum is σ = 503545821065280. Its totient is φ = 74273617367040.

The previous prime is 212011100202203. The next prime is 212011100202241. The reversal of 212011100202220 is 22202001110212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212011100202194 and 212011100202203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33441649 + ... + 39272968.

It is an arithmetic number, because the mean of its divisors is an integer number (5245268969430).

Almost surely, 2212011100202220 is an apocalyptic number.

212011100202220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011100202220 is an abundant number, since it is smaller than the sum of its proper divisors (291534720863060).

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

212011100202220 is a wasteful number, since it uses less digits than its factorization.

212011100202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72715123 (or 72715121 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212011100202220 its reverse (22202001110212), we get a palindrome (234213101312432).

The spelling of 212011100202220 in words is "two hundred twelve trillion, eleven billion, one hundred million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 457 580 638 914 1276 1595 1828 2285 3190 4570 5027 6380 9140 10054 13253 20108 25135 26506 50270 53012 66265 100540 132530 145783 265060 291566 583132 728915 1457830 2915660 72714617 145429234 290858468 363573085 727146170 799860787 1454292340 1599721574 2108723893 3199443148 3999303935 4217447786 7998607870 8434895572 10543619465 15997215740 21087238930 23195962823 33230579969 42174477860 46391925646 66461159938 92783851292 115979814115 132922319876 166152899845 231959628230 332305799690 365536379659 463919256460 664611599380 731072759318 963686819101 1462145518636 1827681898295 1927373638202 3655363796590 3854747276404 4818434095505 7310727593180 9636868191010 10600555010111 19273736382020 21201110020222 42402220040444 53002775050555 106005550101110 212011100202220