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11116524352332 = 22371721094201123
BaseRepresentation
bin1010000111000100010001…
…1111000011001101001100
31110100201200200210002112110
42201301010133003031030
52424113120213233312
635350505532504020
72225066556633210
oct241610437031514
943321620702473
1011116524352332
1135a654520a543
1212b655961b010
1362838c51a269
142a608505c940
1514427646343c
hexa1c447c334c

11116524352332 has 144 divisors (see below), whose sum is σ = 31779318475520. Its totient is φ = 2961891836928.

The previous prime is 11116524352309. The next prime is 11116524352333. The reversal of 11116524352332 is 23325342561111.

It is a super-2 number, since 2×111165243523322 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11116524352333) by changing a digit.

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, 545523 + ... + 4746645.

Almost surely, 211116524352332 is an apocalyptic number.

11116524352332 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 11116524352332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15889659237760).

11116524352332 is an abundant number, since it is smaller than the sum of its proper divisors (20662794123188).

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

11116524352332 is a wasteful number, since it uses less digits than its factorization.

11116524352332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201280 (or 4201261 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The spelling of 11116524352332 in words is "eleven trillion, one hundred sixteen billion, five hundred twenty-four million, three hundred fifty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 109 119 204 218 238 289 327 357 436 476 578 654 714 763 867 1156 1308 1428 1526 1734 1853 2023 2289 3052 3468 3706 4046 4578 5559 6069 7412 8092 9156 11118 12138 12971 22236 24276 25942 31501 38913 51884 63002 77826 94503 126004 155652 189006 220507 378012 441014 661521 882028 1323042 2646084 4201123 8402246 12603369 16804492 25206738 29407861 50413476 58815722 71419091 88223583 117631444 142838182 176447166 214257273 285676364 352894332 428514546 457922407 499933637 857029092 915844814 999867274 1214124547 1373767221 1499800911 1831689628 1999734548 2428249094 2747534442 2999601822 3205456849 3642373641 4856498188 5495068884 5999203644 6410913698 7284747282 7784680919 8498871829 9616370547 12821827396 14569494564 15569361838 16997743658 19232741094 23354042757 25496615487 31138723676 33995487316 38465482188 46708085514 50993230974 54492766433 93416171028 101986461948 108985532866 132339575623 163478299299 217971065732 264679151246 326956598598 397018726869 529358302492 653913197196 794037453738 926377029361 1588074907476 1852754058722 2779131088083 3705508117444 5558262176166 11116524352332