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221000221021110 = 23529221023416659
BaseRepresentation
bin110010001111111110011111…
…101010110101001110110110
31001222111102012101102000200020
4302033332133222311032312
5212431331423040133420
62102010033331230010
764356511332624036
oct6217763752651666
91058442171360606
10221000221021110
1164465738336753
12209533a6a48306
13964130157586b
143c806797bd8c6
151a83ac9c99340
hexc8ff9fab53b6

221000221021110 has 96 divisors (see below), whose sum is σ = 549348330286080. Its totient is φ = 56898363156096.

The previous prime is 221000221021061. The next prime is 221000221021157. The reversal of 221000221021110 is 11120122000122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221000221021110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530201961 + ... + 530618619.

It is an arithmetic number, because the mean of its divisors is an integer number (5722378440480).

Almost surely, 2221000221021110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221000221021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274674165143040).

221000221021110 is an abundant number, since it is smaller than the sum of its proper divisors (328348109264970).

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

221000221021110 is a wasteful number, since it uses less digits than its factorization.

221000221021110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437750 (or 437721 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221000221021110 its reverse (11120122000122), we get a palindrome (232120343021232).

The spelling of 221000221021110 in words is "two hundred twenty-one trillion, two hundred twenty-one million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 841 870 1682 2523 4205 5046 8410 12615 21023 25230 42046 63069 105115 126138 210230 315345 416659 609667 630690 833318 1219334 1249977 1829001 2083295 2499954 3048335 3658002 4166590 6096670 6249885 9145005 12083111 12499770 17680343 18290010 24166222 35360686 36249333 53041029 60415555 72498666 88401715 106082058 120831110 176803430 181246665 265205145 350410219 362493330 530410290 700820438 1051230657 1752051095 2102461314 3504102190 5256153285 8759422157 10512306570 17518844314 26278266471 43797110785 52556532942 87594221570 131391332355 254023242553 262782664710 508046485106 762069727659 1270116212765 1524139455318 2540232425530 3810348638295 7366674034037 7620697276590 14733348068074 22100022102111 36833370170185 44200044204222 73666740340370 110500110510555 221000221021110