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212131220220 = 223353171239229
BaseRepresentation
bin1100010110010000000…
…0011000101011111100
3202021112210022112011000
43011210000120223330
511433421043021340
6241241324130300
721216544422663
oct3054400305374
9667483275130
10212131220220
1181a675a8537
1235142396990
13170087089aa
14a3a52d9dda
1557b84b4d30
hex3164018afc

212131220220 has 96 divisors (see below), whose sum is σ = 662046235200. Its totient is φ = 56389830912.

The previous prime is 212131220219. The next prime is 212131220221. The reversal of 212131220220 is 22022131212.

212131220220 is a `hidden beast` number, since 212 + 13 + 1 + 220 + 220 = 666.

212131220220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212131220219) and next prime (212131220221).

It is a super-2 number, since 2×2121312202202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212131220193 and 212131220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212131220221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448435 + ... + 790794.

It is an arithmetic number, because the mean of its divisors is an integer number (6896314950).

Almost surely, 2212131220220 is an apocalyptic number.

212131220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212131220220 is an abundant number, since it is smaller than the sum of its proper divisors (449915014980).

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

212131220220 is a wasteful number, since it uses less digits than its factorization.

212131220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239564 (or 1239556 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212131220220 its reverse (22022131212), we get a palindrome (234153351432).

The spelling of 212131220220 in words is "two hundred twelve billion, one hundred thirty-one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 317 540 634 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 8559 9510 11412 14265 17118 19020 28530 34236 42795 57060 85590 171180 1239229 2478458 3717687 4956916 6196145 7435374 11153061 12392290 14870748 18588435 22306122 24784580 33459183 37176870 44612244 55765305 66918366 74353740 111530610 133836732 167295915 223061220 334591830 392835593 669183660 785671186 1178506779 1571342372 1964177965 2357013558 3535520337 3928355930 4714027116 5892533895 7071040674 7856711860 10606561011 11785067790 14142081348 17677601685 21213122022 23570135580 35355203370 42426244044 53032805055 70710406740 106065610110 212131220220