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211111000220 = 225231139774157
BaseRepresentation
bin1100010010011100110…
…0100011100010011100
3202011220200120222102002
43010213030203202130
511424323404001340
6240552201221432
721152345615441
oct3044714434234
9664820528362
10211111000220
118159372410a
1234ab8791878
1316ba523c213
14a309a079c8
155758b3c715
hex312732389c

211111000220 has 96 divisors (see below), whose sum is σ = 467292405888. Its totient is φ = 79956918272.

The previous prime is 211111000201. The next prime is 211111000237. The reversal of 211111000220 is 22000111112.

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 31 ways as a sum of consecutive naturals, for example, 50782382 + ... + 50786538.

It is an arithmetic number, because the mean of its divisors is an integer number (4867629228).

Almost surely, 2211111000220 is an apocalyptic number.

211111000220 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 211111000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233646202944).

211111000220 is an abundant number, since it is smaller than the sum of its proper divisors (256181405668).

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

211111000220 is a wasteful number, since it uses less digits than its factorization.

211111000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211111000220 its reverse (22000111112), we get a palindrome (233111111332).

The spelling of 211111000220 in words is "two hundred eleven billion, one hundred eleven million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 23 46 92 113 115 226 230 452 460 565 977 1130 1954 2260 2599 3908 4157 4885 5198 8314 9770 10396 12995 16628 19540 20785 22471 25990 41570 44942 51980 83140 89884 95611 110401 112355 191222 220802 224710 382444 441604 449420 469741 478055 552005 939482 956110 1104010 1878964 1912220 2208020 2348705 2539223 4061389 4697410 5078446 8122778 9394820 10156892 10804043 12696115 16245556 20306945 21608086 25392230 40613890 43216172 50784460 54020215 81227780 93411947 108040430 186823894 216080860 373647788 458936957 467059735 917873914 934119470 1835747828 1868238940 2294684785 4589369570 9178739140 10555550011 21111100022 42222200044 52777750055 105555500110 211111000220