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211121222220 = 223257549155371
BaseRepresentation
bin1100010010011111001…
…1100011001001001100
3202011221101211022100200
43010213303203021030
511424334013102340
6240553204253500
721152531531256
oct3044763431114
9664841738320
10211121222220
1181599476047
1234b000a1290
1316ba73aab3c
14a30b108cd6
1557599ab330
hex3127ce324c

211121222220 has 72 divisors (see below), whose sum is σ = 640489995600. Its totient is φ = 56291172480.

The previous prime is 211121222219. The next prime is 211121222227. The reversal of 211121222220 is 22222121112.

It is a happy number.

211121222220 is a `hidden beast` number, since 211 + 1 + 212 + 22 + 220 = 666.

211121222220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 211121222193 and 211121222202.

It is not an unprimeable number, because it can be changed into a prime (211121222227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1281135 + ... + 1436505.

Almost surely, 2211121222220 is an apocalyptic number.

211121222220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121222220 is an abundant number, since it is smaller than the sum of its proper divisors (429368773380).

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

211121222220 is a wasteful number, since it uses less digits than its factorization.

211121222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162935 (or 162930 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211121222220 its reverse (22222121112), we get a palindrome (233343343332).

The spelling of 211121222220 in words is "two hundred eleven billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7549 15098 22647 30196 37745 45294 67941 75490 90588 113235 135882 150980 155371 226470 271764 310742 339705 452940 466113 621484 679410 776855 932226 1358820 1398339 1553710 1864452 2330565 2796678 3107420 4661130 5593356 6991695 9322260 13983390 27966780 1172895679 2345791358 3518687037 4691582716 5864478395 7037374074 10556061111 11728956790 14074748148 17593435185 21112122222 23457913580 35186870370 42224244444 52780305555 70373740740 105560611110 211121222220