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11010116313336 = 2337595521201193
BaseRepresentation
bin1010000000110111111000…
…0100100110000011111000
31102222120000221021122100010
42200031332010212003320
52420342204234011321
635225551055141520
72214311642343240
oct240157604460370
942876027248303
1011010116313336
113565400697948
121299a018148a0
1361b33224738a
142a0c6cd34b20
151415e9890676
hexa037e1260f8

11010116313336 has 128 divisors (see below), whose sum is σ = 31996606118400. Its totient is φ = 3091854274560.

The previous prime is 11010116313331. The next prime is 11010116313359. The reversal of 11010116313336 is 63331361101011.

It is a super-2 number, since 2×110101163133362 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010116313331) 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 31 ways as a sum of consecutive naturals, for example, 54623556 + ... + 54824748.

It is an arithmetic number, because the mean of its divisors is an integer number (249973485300).

Almost surely, 211010116313336 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 11010116313336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15998303059200).

11010116313336 is an abundant number, since it is smaller than the sum of its proper divisors (20986489805064).

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

11010116313336 is a wasteful number, since it uses less digits than its factorization.

11010116313336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206789 (or 206785 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

Adding to 11010116313336 its reverse (63331361101011), we get a palindrome (74341477414347).

The spelling of 11010116313336 in words is "eleven trillion, ten billion, one hundred sixteen million, three hundred thirteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 3304 4956 5521 9912 11042 16563 22084 33126 38647 44168 66252 77294 115941 132504 154588 201193 231882 309176 325739 402386 463764 603579 651478 804772 927528 977217 1207158 1302956 1408351 1609544 1954434 2280173 2414316 2605912 2816702 3908868 4225053 4560346 4828632 5633404 6840519 7817736 8450106 9120692 11266808 11870387 13681038 16900212 18241384 23740774 27362076 33800424 35611161 47481548 54724152 71222322 83092709 94963096 142444644 166185418 249278127 284889288 332370836 498556254 664741672 997112508 1110786553 1994225016 2221573106 3332359659 4443146212 6664719318 7775505871 8886292424 13329438636 15551011742 23326517613 26658877272 31102023484 46653035226 62204046968 65536406627 93306070452 131072813254 186612140904 196609219881 262145626508 393218439762 458754846389 524291253016 786436879524 917509692778 1376264539167 1572873759048 1835019385556 2752529078334 3670038771112 5505058156668 11010116313336