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211111011111220 = 225115318105575567
BaseRepresentation
bin110000000000000100011100…
…110100110101000100110100
31000200111000102100021111002121
4300000010130310311010310
5210132320322321024340
62024555020514245324
762316160441420543
oct6000043464650464
91020430370244077
10211111011111220
11612a274a135180
121b81688a586844
1390a48b550a59c
143a1bb8278015a
1519617364b994a
hexc0011cd35134

211111011111220 has 48 divisors (see below), whose sum is σ = 492761344658688. Its totient is φ = 75319194354560.

The previous prime is 211111011111191. The next prime is 211111011111311. The reversal of 211111011111220 is 22111110111112.

It is a junction number, because it is equal to n+sod(n) for n = 211111011111194 and 211111011111203.

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 15 ways as a sum of consecutive naturals, for example, 9052776124 + ... + 9052799443.

It is an arithmetic number, because the mean of its divisors is an integer number (10265861347056).

Almost surely, 2211111011111220 is an apocalyptic number.

211111011111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211111011111220 is an abundant number, since it is smaller than the sum of its proper divisors (281650333547468).

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

211111011111220 is a wasteful number, since it uses less digits than its factorization.

211111011111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18105575640 (or 18105575638 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 211111011111220 its reverse (22111110111112), we get a palindrome (233222121222332).

The spelling of 211111011111220 in words is "two hundred eleven trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11660 18105575567 36211151134 72422302268 90527877835 181055755670 199161331237 362111511340 398322662474 796645324948 959595505051 995806656185 1919191010102 1991613312370 3838382020204 3983226624740 4797977525255 9595955050510 10555550555561 19191910101020 21111101111122 42222202222244 52777752777805 105555505555610 211111011111220