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211211112220 = 22567157620233
BaseRepresentation
bin1100010010110100101…
…0011100111100011100
3202012011122222012020221
43010231022130330130
511430030021042340
6241010135051124
721155002555243
oct3045512347434
9665148865227
10211211112220
11816351917a9
1234b26210aa4
1316bbcbc19a4
14a31902795a
15576281544a
hex312d29cf1c

211211112220 has 24 divisors (see below), whose sum is σ = 450163388304. Its totient is φ = 83223482496.

The previous prime is 211211112179. The next prime is 211211112221. The reversal of 211211112220 is 22211112112.

211211112220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112111122202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211112194 and 211211112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211112221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78808777 + ... + 78811456.

It is an arithmetic number, because the mean of its divisors is an integer number (18756807846).

Almost surely, 2211211112220 is an apocalyptic number.

211211112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211112220 is an abundant number, since it is smaller than the sum of its proper divisors (238952276084).

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

211211112220 is a wasteful number, since it uses less digits than its factorization.

211211112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157620309 (or 157620307 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211211112220 its reverse (22211112112), we get a palindrome (233422224332).

The spelling of 211211112220 in words is "two hundred eleven billion, two hundred eleven million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 157620233 315240466 630480932 788101165 1576202330 3152404660 10560555611 21121111222 42242222444 52802778055 105605556110 211211112220