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221021110201112 = 23131710511187100207
BaseRepresentation
bin110010010000010001111100…
…110000101110101100011000
31001222120102010012002022120122
4302100101330300232230120
5212432202213202413422
62102023410223012412
764361151103003334
oct6220217460565430
91058512105068518
10221021110201112
1164473587777881
122095745673a108
139643280228cc0
143c8169bc067c4
151a843edb05d42
hexc9047cc2eb18

221021110201112 has 128 divisors (see below), whose sum is σ = 473397951882240. Its totient is φ = 95836056422400.

The previous prime is 221021110201063. The next prime is 221021110201121. The reversal of 221021110201112 is 211102011120122.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 2205595313 + ... + 2205695519.

It is an arithmetic number, because the mean of its divisors is an integer number (3698421499080).

Almost surely, 2221021110201112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221021110201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236698975941120).

221021110201112 is an abundant number, since it is smaller than the sum of its proper divisors (252376841681128).

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

221021110201112 is a wasteful number, since it uses less digits than its factorization.

221021110201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102481 (or 102477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221021110201112 its reverse (211102011120122), we get a palindrome (432123121321234).

The spelling of 221021110201112 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred ten million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1051 1187 1768 2102 2374 4204 4748 8408 9496 13663 15431 17867 20179 27326 30862 35734 40358 54652 61724 71468 80716 100207 109304 123448 142936 161432 200414 232271 262327 400828 464542 524654 801656 929084 1049308 1247537 1302691 1703519 1858168 2098616 2495074 2605382 3407038 4990148 5210764 6814076 9980296 10421528 13628152 16217981 21208129 22145747 32435962 42416258 44291494 64871924 84832516 88582988 105317557 118945709 129743848 169665032 177165976 210635114 237891418 275705677 421270228 475782836 551411354 842540456 951565672 1102822708 1369128241 1546294217 1790398469 2022077053 2205645416 2738256482 3092588434 3580796938 4044154106 5476512964 6185176868 7161593876 8088308212 10953025928 12370353736 14323187752 16176616424 23275180097 26287001689 46550360194 52574003378 93100720388 105148006756 125011940159 186201440776 210296013512 250023880318 500047760636 1000095521272 1625155222067 2125202982703 3250310444134 4250405965406 6500620888268 8500811930812 13001241776536 17001623861624 27627638775139 55255277550278 110510555100556 221021110201112