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211220212212200 = 23526022317536507
BaseRepresentation
bin110000000001101010001001…
…101101111110000111101000
31000200212110021202102012001002
4300001222021231332013220
5210141112443311242300
62025121120445014132
762330104522441412
oct6001521155760750
91020773252365032
10211220212212200
1161334a97326664
121b833a85854348
1390b1c9934b779
143a231818039b2
1519644c83a65d5
hexc01a89b7e1e8

211220212212200 has 48 divisors (see below), whose sum is σ = 491095175873280. Its totient is φ = 84486677146560.

The previous prime is 211220212212187. The next prime is 211220212212241. The reversal of 211220212212200 is 2212212022112.

It is a super-2 number, since 2×2112202122122002 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3276347 + ... + 20812853.

It is an arithmetic number, because the mean of its divisors is an integer number (10231149497360).

Almost surely, 2211220212212200 is an apocalyptic number.

211220212212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220212212200 is an abundant number, since it is smaller than the sum of its proper divisors (279874963661080).

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

211220212212200 is a wasteful number, since it uses less digits than its factorization.

211220212212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17596746 (or 17596737 counting only the distinct ones).

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

Adding to 211220212212200 its reverse (2212212022112), we get a palindrome (213432424234312).

The spelling of 211220212212200 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred twelve million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 60223 120446 240892 301115 481784 602230 1204460 1505575 2408920 3011150 6022300 12044600 17536507 35073014 70146028 87682535 140292056 175365070 350730140 438412675 701460280 876825350 1753650700 3507301400 1056101061061 2112202122122 4224404244244 5280505305305 8448808488488 10561010610610 21122021221220 26402526526525 42244042442440 52805053053050 105610106106100 211220212212200