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211022102111220 = 223253731685000317
BaseRepresentation
bin101111111110110001101001…
…011011111010001111110100
31000200011111221010022022121200
4233332301221123322033310
5210124341231120024340
62024450114310012500
762306562260404161
oct5776615133721764
91020144833268550
10211022102111220
1161268a75341584
121b8015b7047130
1390993b673764a
143a1774a71b068
15195e280ce7330
hexbfec696fa3f4

211022102111220 has 72 divisors (see below), whose sum is σ = 657400386597864. Its totient is φ = 54751680546048.

The previous prime is 211022102111167. The next prime is 211022102111269. The reversal of 211022102111220 is 22111201220112.

211022102111220 is a `hidden beast` number, since 2 + 1 + 10 + 221 + 0 + 211 + 1 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6910705107684 + 204111397003536 = 2628822^2 + 14286756^2 .

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 = 211022102111193 and 211022102111202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15842493499 + ... + 15842506818.

Almost surely, 2211022102111220 is an apocalyptic number.

211022102111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211022102111220 is an abundant number, since it is smaller than the sum of its proper divisors (446378284486644).

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

211022102111220 is a wasteful number, since it uses less digits than its factorization.

211022102111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31685000369 (or 31685000364 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211022102111220 its reverse (22111201220112), we get a palindrome (233133303331332).

The spelling of 211022102111220 in words is "two hundred eleven trillion, twenty-two billion, one hundred two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 31685000317 63370000634 95055000951 126740001268 158425001585 190110001902 285165002853 316850003170 380220003804 475275004755 570330005706 633700006340 950550009510 1140660011412 1172345011729 1425825014265 1901100019020 2344690023458 2851650028530 3517035035187 4689380046916 5703300057060 5861725058645 7034070070374 10551105105561 11723450117290 14068140140748 17585175175935 21102210211122 23446900234580 35170350351870 42204420422244 52755525527805 70340700703740 105511051055610 211022102111220