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211111111020 = 2235101316910993
BaseRepresentation
bin1100010010011100110…
…0111110100101101100
3202011220200210121101210
43010213030332211230
511424323421023040
6240552203434420
721152346556455
oct3044714764554
9664820717353
10211111111020
118159379a387
1234ab8825a10
1316ba527a794
14a309a3612c
155758b60480
hex312733e96c

211111111020 has 96 divisors (see below), whose sum is σ = 597206393280. Its totient is φ = 55716249600.

The previous prime is 211111110923. The next prime is 211111111027. The reversal of 211111111020 is 20111111112.

211111111020 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 211111110987 and 211111111005.

It is not an unprimeable number, because it can be changed into a prime (211111111027) 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, 19198644 + ... + 19209636.

It is an arithmetic number, because the mean of its divisors is an integer number (6220899930).

Almost surely, 2211111111020 is an apocalyptic number.

211111111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211111111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298603196640).

211111111020 is an abundant number, since it is smaller than the sum of its proper divisors (386095282260).

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

211111111020 is a wasteful number, since it uses less digits than its factorization.

211111111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14275 (or 14273 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 211111111020 its reverse (20111111112), we get a palindrome (231222222132).

The spelling of 211111111020 in words is "two hundred eleven billion, one hundred eleven million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 3169 6060 6338 9507 10993 12676 15845 19014 21986 31690 32979 38028 43972 47535 54965 63380 65958 95070 109930 131916 164895 190140 219860 320069 329790 640138 659580 960207 1110293 1280276 1600345 1920414 2220586 3200690 3330879 3840828 4441172 4801035 5551465 6401380 6661758 9602070 11102930 13323516 16654395 19204140 22205860 33308790 34836817 66617580 69673634 104510451 139347268 174184085 209020902 348368170 418041804 522552255 696736340 1045104510 2090209020 3518518517 7037037034 10555555551 14074074068 17592592585 21111111102 35185185170 42222222204 52777777755 70370370340 105555555510 211111111020