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221110210121020 = 225114433320368329
BaseRepresentation
bin110010010001100100111011…
…100001111100110100111100
31001222212221002201022012221021
4302101210323201330310330
5212440132202242333040
62102132343411313524
764400454062555563
oct6221447341746474
91058787081265837
10221110210121020
11644a834a311420
1220970781bab8a4
13964b7ac7272bc
143c85b11366bda
151a868b5e3c24a
hexc9193b87cd3c

221110210121020 has 96 divisors (see below), whose sum is σ = 507709549912320. Its totient is φ = 80218624412160.

The previous prime is 221110210120999. The next prime is 221110210121039. The reversal of 221110210121020 is 20121012011122.

It is a junction number, because it is equal to n+sod(n) for n = 221110210120985 and 221110210121003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3235930216 + ... + 3235998544.

It is an arithmetic number, because the mean of its divisors is an integer number (5288641144920).

Almost surely, 2221110210121020 is an apocalyptic number.

221110210121020 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 221110210121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253854774956160).

221110210121020 is an abundant number, since it is smaller than the sum of its proper divisors (286599339791300).

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

221110210121020 is a wasteful number, since it uses less digits than its factorization.

221110210121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101995 (or 101993 counting only the distinct ones).

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

Adding to 221110210121020 its reverse (20121012011122), we get a palindrome (241231222132142).

The spelling of 221110210121020 in words is "two hundred twenty-one trillion, one hundred ten billion, two hundred ten million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 443 886 1772 2215 4430 4873 8860 9746 19492 24365 33203 48730 66406 68329 97460 132812 136658 166015 273316 332030 341645 365233 664060 683290 730466 751619 1366580 1460932 1503238 1826165 3006476 3652330 3758095 7304660 7516190 14708929 15032380 29417858 30269747 58835716 60539494 73544645 121078988 147089290 151348735 161798219 294178580 302697470 323596438 332967217 605394940 647192876 665934434 808991095 1331868868 1617982190 1664836085 2268727787 3235964380 3329672170 4537455574 6659344340 9074911148 11343638935 22687277870 24956005657 45374555740 49912011314 99824022628 124780028285 249560056570 499120113140 1005046409641 2010092819282 4020185638564 5025232048205 10050464096410 11055510506051 20100928192820 22111021012102 44222042024204 55277552530255 110555105060510 221110210121020