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212131231220 = 225718910116619
BaseRepresentation
bin1100010110010000000…
…0011011010111110100
3202021112210100002020102
43011210000123113310
511433421043344340
6241241324253232
721216544500026
oct3054400332764
9667483302212
10212131231220
1181a67605827
12351423a1218
13170087109bc
14a3a5300016
1557b84b8215
hex316401b5f4

212131231220 has 96 divisors (see below), whose sum is σ = 461376518400. Its totient is φ = 81893504000.

The previous prime is 212131231211. The next prime is 212131231231. The reversal of 212131231220 is 22132131212.

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 = 212131231192 and 212131231201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12756071 + ... + 12772689.

It is an arithmetic number, because the mean of its divisors is an integer number (4806005400).

Almost surely, 2212131231220 is an apocalyptic number.

212131231220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212131231220 is an abundant number, since it is smaller than the sum of its proper divisors (249245287180).

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

212131231220 is a wasteful number, since it uses less digits than its factorization.

212131231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16889 (or 16887 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 212131231220 its reverse (22132131212), we get a palindrome (234263362432).

The spelling of 212131231220 in words is "two hundred twelve billion, one hundred thirty-one million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 71 89 101 142 178 202 284 355 356 404 445 505 710 890 1010 1420 1780 2020 6319 7171 8989 12638 14342 16619 17978 25276 28684 31595 33238 35855 35956 44945 63190 66476 71710 83095 89890 126380 143420 166190 179780 332380 638219 1179949 1276438 1479091 1678519 2359898 2552876 2958182 3191095 3357038 4719796 5899745 5916364 6382190 6714076 7395455 8392595 11799490 12764380 14790910 16785190 23598980 29581820 33570380 105015461 119174849 149388191 210030922 238349698 298776382 420061844 476699396 525077305 595874245 597552764 746940955 1050154610 1191748490 1493881910 2100309220 2383496980 2987763820 10606561561 21213123122 42426246244 53032807805 106065615610 212131231220