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220110110122212 = 2232431011997074481
BaseRepresentation
bin110010000011000001100000…
…111011001110000011100100
31001212100022200000201022212200
4302003001200323032003210
5212322241001142402322
62100045104425414500
764235300502051042
oct6203014073160344
91055308600638780
10220110110122212
116415219a9a5992
122082a99263a430
1395a83a981868b
143c4d55992d392
151a6a880a218ac
hexc83060ece0e4

220110110122212 has 144 divisors (see below), whose sum is σ = 577855008931200. Its totient is φ = 70597650816000.

The previous prime is 220110110122207. The next prime is 220110110122237. The reversal of 220110110122212 is 212221011011022.

220110110122212 is a `hidden beast` number, since 220 + 1 + 1 + 0 + 110 + 122 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27576012 + ... + 34650492.

Almost surely, 2220110110122212 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 220110110122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288927504465600).

220110110122212 is an abundant number, since it is smaller than the sum of its proper divisors (357744898808988).

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

220110110122212 is a wasteful number, since it uses less digits than its factorization.

220110110122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074834 (or 7074829 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220110110122212 its reverse (212221011011022), we get a palindrome (432331121133234).

The spelling of 220110110122212 in words is "two hundred twenty trillion, one hundred ten billion, one hundred ten million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 101 129 172 199 202 258 303 387 398 404 516 597 606 774 796 909 1194 1212 1548 1791 1818 2388 3582 3636 4343 7164 8557 8686 13029 17114 17372 20099 25671 26058 34228 39087 40198 51342 52116 60297 77013 78174 80396 102684 120594 154026 156348 180891 241188 308052 361782 723564 864257 1728514 2592771 3457028 5185542 7074481 7778313 10371084 14148962 15556626 21223443 28297924 31113252 42446886 63670329 84893772 127340658 254681316 304202683 608405366 714522581 912608049 1216810732 1407821719 1429045162 1825216098 2143567743 2737824147 2815643438 2858090324 3650432196 4223465157 4287135486 5475648294 5631286876 6430703229 8446930314 8574270972 10951296588 12670395471 12861406458 16893860628 25340790942 25722812916 30724470983 50681581884 60536333917 61448941966 92173412949 121072667834 122897883932 142189993619 181609001751 184346825898 242145335668 276520238847 284379987238 363218003502 368693651796 426569980857 544827005253 553040477694 568759974476 726436007004 853139961714 1089654010506 1106080955388 1279709942571 1706279923428 2179308021012 2559419885142 5118839770284 6114169725617 12228339451234 18342509176851 24456678902468 36685018353702 55027527530553 73370036707404 110055055061106 220110110122212