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211100001222222 = 233715714332482279
BaseRepresentation
bin101111111111111010001100…
…100101011011111001001110
31000200102222000001020011201000
4233333322030211123321032
5210132130300303102342
62024550000214201130
762315320552050030
oct5777721445337116
91020388001204630
10211100001222222
116129900a362662
121b8147173531a6
1390a384c52ca78
143a1b41a457c50
1519612deb2544c
hexbffe8c95be4e

211100001222222 has 128 divisors (see below), whose sum is σ = 539918538393600. Its totient is φ = 59888273073408.

The previous prime is 211100001222199. The next prime is 211100001222241. The reversal of 211100001222222 is 222222100001112.

It is a happy number.

211100001222222 is a `hidden beast` number, since 211 + 10 + 0 + 0 + 0 + 1 + 222 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 211100001222195 and 211100001222204.

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 63 ways as a sum of consecutive naturals, for example, 83801679 + ... + 86283957.

It is an arithmetic number, because the mean of its divisors is an integer number (4218113581200).

Almost surely, 2211100001222222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211100001222222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269959269196800).

211100001222222 is an abundant number, since it is smaller than the sum of its proper divisors (328818537171378).

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

211100001222222 is a wasteful number, since it uses less digits than its factorization.

211100001222222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483887 (or 2483881 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211100001222222 its reverse (222222100001112), we get a palindrome (433322101223334).

The spelling of 211100001222222 in words is "two hundred eleven trillion, one hundred billion, one million, two hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 157 189 314 378 471 942 1099 1413 1433 2198 2826 2866 3297 4239 4299 6594 8478 8598 9891 10031 12897 19782 20062 25794 29673 30093 38691 59346 60186 77382 90279 180558 224981 270837 449962 541674 674943 1349886 1574867 2024829 2482279 3149734 4049658 4724601 4964558 6074487 7446837 9449202 12148974 14173803 14893674 17375953 22340511 28347606 34751906 42521409 44681022 52127859 67021533 85042818 104255718 134043066 156383577 312767154 389717803 469150731 779435606 938301462 1169153409 2338306818 2728024621 3507460227 3557105807 5456049242 7014920454 7114211614 8184073863 10522380681 10671317421 16368147726 21044761362 21342634842 24552221589 24899740649 32013952263 49104443178 49799481298 64027904526 73656664767 74699221947 96041856789 147313329534 149398443894 192083713578 224097665841 448195331682 558465611699 672292997523 1116931223398 1344585995046 1675396835097 3350793670194 3909259281893 5026190505291 7818518563786 10052381010582 11727777845679 15078571515873 23455555691358 30157143031746 35183333537037 70366667074074 105550000611111 211100001222222