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11010020122112 = 291143193235559
BaseRepresentation
bin1010000000110111100001…
…0101101001111000000000
31102222112210020021121210012
42200031320111221320000
52420342010122401422
635225533341324052
72214306363623324
oct240157025517000
942875706247705
1011010020122112
113565361367a70
121299995566628
1361b3183383ab
142a0c60255984
151415e11de4e2
hexa0378569e00

11010020122112 has 160 divisors (see below), whose sum is σ = 24683846204160. Its totient is φ = 4862821662720.

The previous prime is 11010020122097. The next prime is 11010020122121. The reversal of 11010020122112 is 21122102001011.

It is a super-2 number, since 2×110100201221122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46622189 + ... + 46857747.

It is an arithmetic number, because the mean of its divisors is an integer number (154274038776).

Almost surely, 211010020122112 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 11010020122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12341923102080).

11010020122112 is an abundant number, since it is smaller than the sum of its proper divisors (13673826082048).

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

11010020122112 is a wasteful number, since it uses less digits than its factorization.

11010020122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235824 (or 235808 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11010020122112 its reverse (21122102001011), we get a palindrome (32132122123123).

The spelling of 11010020122112 in words is "eleven trillion, ten billion, twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 193 256 344 352 386 473 512 688 704 772 946 1376 1408 1544 1892 2123 2752 2816 3088 3784 4246 5504 5632 6176 7568 8299 8492 11008 12352 15136 16598 16984 22016 24704 30272 33196 33968 49408 60544 66392 67936 91289 98816 121088 132784 135872 182578 235559 242176 265568 271744 365156 471118 531136 543488 730312 942236 1062272 1086976 1460624 1884472 2124544 2591149 2921248 3768944 4249088 5182298 5842496 7537888 10129037 10364596 11684992 15075776 20258074 20729192 23369984 30151552 40516148 41458384 45462887 46739968 60303104 81032296 82916768 90925774 111419407 120606208 162064592 165833536 181851548 222838814 324129184 331667072 363703096 445677628 500091757 648258368 663334144 727406192 891355256 1000183514 1296516736 1326668288 1454812384 1782710512 1954904141 2000367028 2593033472 2909624768 3565421024 3909808282 4000734056 5186066944 5819249536 7130842048 7819616564 8001468112 11638499072 14261684096 15639233128 16002936224 21503945551 23276998144 28523368192 31278466256 32005872448 43007891102 57046736384 62556932512 64011744896 86015782204 125113865024 128023489792 172031564408 250227730048 256046979584 344063128816 500455460096 688126257632 1000910920192 1376252515264 2752505030528 5505010061056 11010020122112