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11210214886812 = 2234291415384299
BaseRepresentation
bin1010001100100001010011…
…1000000100110110011100
31110200200112011001101020000
42203020110320010312130
52432132010002334222
635501522430054300
72234624401221414
oct243102470046634
943620464041200
1011210214886812
113632253065827
12131074634a390
13634170aca946
142aa812155644
1514690b7d69ac
hexa3214e04d9c

11210214886812 has 120 divisors (see below), whose sum is σ = 30318759702000. Its totient is φ = 3607587535104.

The previous prime is 11210214886781. The next prime is 11210214886813. The reversal of 11210214886812 is 21868841201211.

11210214886812 is a `hidden beast` number, since 1 + 1 + 2 + 102 + 1 + 488 + 68 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210214886813) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132939439 + ... + 133023737.

It is an arithmetic number, because the mean of its divisors is an integer number (252656330850).

Almost surely, 211210214886812 is an apocalyptic number.

11210214886812 is a gapful number since it is divisible by the number (12) 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 11210214886812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15159379851000).

11210214886812 is an abundant number, since it is smaller than the sum of its proper divisors (19108544815188).

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

11210214886812 is a wasteful number, since it uses less digits than its factorization.

11210214886812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98497 (or 98486 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 11210214886812 in words is "eleven trillion, two hundred ten billion, two hundred fourteen million, eight hundred eighty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 14153 28306 42459 56612 84299 84918 127377 168598 169836 252897 254754 337196 382131 410437 505794 509508 758691 764262 820874 1011588 1146393 1231311 1517382 1528524 1641748 2276073 2292786 2444671 2462622 3034764 3693933 4552146 4585572 4889342 4925244 6828219 7334013 7387866 9104292 9778684 11081799 13656438 14668026 14775732 22002039 22163598 27312876 29336052 33245397 44004078 44327196 66006117 66490794 88008156 132012234 132981588 198018351 264024468 396036702 792073404 1193083747 2386167494 3579251241 4772334988 7158502482 10737753723 14317004964 21475507446 32213261169 34599428663 42951014892 64426522338 69198857326 96639783507 103798285989 128853044676 138397714652 193279567014 207596571978 311394857967 386559134028 415193143956 622789715934 934184573901 1245579431868 1868369147802 2802553721703 3736738295604 5605107443406 11210214886812