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212012220200 = 235211251383941
BaseRepresentation
bin1100010101110011101…
…0011011111100101000
3202021020111101200210212
43011130322123330220
511433200112021300
6241221433400252
721213601065104
oct3053472337450
9667214350725
10212012220200
1181a0640a010
123510a569088
1316cb9b71c91
14a3935a0904
1557acd0a935
hex315ce9bf28

212012220200 has 96 divisors (see below), whose sum is σ = 539883882720. Its totient is φ = 76788000000.

The previous prime is 212012220179. The next prime is 212012220223. The reversal of 212012220200 is 2022210212.

212012220200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360230 + ... + 744170.

It is an arithmetic number, because the mean of its divisors is an integer number (5623790445).

Almost surely, 2212012220200 is an apocalyptic number.

212012220200 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 212012220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269941941360).

212012220200 is an abundant number, since it is smaller than the sum of its proper divisors (327871662520).

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

212012220200 is a wasteful number, since it uses less digits than its factorization.

212012220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384219 (or 384210 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212012220200 its reverse (2022210212), we get a palindrome (214034430412).

The spelling of 212012220200 in words is "two hundred twelve billion, twelve million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 251 275 440 502 550 1004 1100 1255 2008 2200 2510 2761 5020 5522 6275 10040 11044 12550 13805 22088 25100 27610 50200 55220 69025 110440 138050 276100 383941 552200 767882 1535764 1919705 3071528 3839410 4223351 7678820 8446702 9598525 15357640 16893404 19197050 21116755 33786808 38394100 42233510 76788200 84467020 96369191 105583775 168934040 192738382 211167550 385476764 422335100 481845955 770953528 844670200 963691910 1060061101 1927383820 2120122202 2409229775 3854767640 4240244404 4818459550 5300305505 8480488808 9636919100 10600611010 19273838200 21201222020 26501527525 42402444040 53003055050 106006110100 212012220200