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212210221212200 = 235279113118858643
BaseRepresentation
bin110000010000000100001010…
…110110100110001000101000
31000211101002200012000020002002
4300100010022312212020220
5210303323013112242300
62031200010233430132
762461453052211521
oct6020041266461050
91024332605006062
10212210221212200
1161686938624362
121b97391986b348
13915445175b493
143a5905ad8b848
15198011c93b5d5
hexc1010ada6228

212210221212200 has 96 divisors (see below), whose sum is σ = 504055737475200. Its totient is φ = 83067927720960.

The previous prime is 212210221212193. The next prime is 212210221212203. The reversal of 212210221212200 is 2212122012212.

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

It is not an unprimeable number, because it can be changed into a prime (212210221212203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57643922 + ... + 61214721.

It is an arithmetic number, because the mean of its divisors is an integer number (5250580598700).

Almost surely, 2212210221212200 is an apocalyptic number.

212210221212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210221212200 is an abundant number, since it is smaller than the sum of its proper divisors (291845516263000).

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

212210221212200 is a wasteful number, since it uses less digits than its factorization.

212210221212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118858851 (or 118858842 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212210221212200 its reverse (2212122012212), we get a palindrome (214422343224412).

The spelling of 212210221212200 in words is "two hundred twelve trillion, two hundred ten billion, two hundred twenty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 113 158 200 226 316 395 452 565 632 790 904 1130 1580 1975 2260 2825 3160 3950 4520 5650 7900 8927 11300 15800 17854 22600 35708 44635 71416 89270 178540 223175 357080 446350 892700 1785400 118858643 237717286 475434572 594293215 950869144 1188586430 2377172860 2971466075 4754345720 5942932150 9389832797 11885864300 13431026659 18779665594 23771728600 26862053318 37559331188 46949163985 53724106636 67155133295 75118662376 93898327970 107448213272 134310266590 187796655940 234745819925 268620533180 335775666475 375593311880 469491639850 537241066360 671551332950 938983279700 1061051106061 1343102665900 1877966559400 2122102212122 2686205331800 4244204424244 5305255530305 8488408848488 10610511060610 21221022121220 26526277651525 42442044242440 53052555303050 106105110606100 212210221212200