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11001334520 = 23511215115053
BaseRepresentation
bin10100011111011101…
…10000101011111000
31001101200221200212002
422033232300223320
5140012320201040
65015352440132
7536423541401
oct121756605370
931350850762
1011001334520
114735a6a500
1221703a9048
1310642a3bc7
1476513a9a8
15445c54a15
hex28fbb0af8

11001334520 has 96 divisors (see below), whose sum is σ = 27389849760. Its totient is φ = 3973728000.

The previous prime is 11001334481. The next prime is 11001334537. The reversal of 11001334520 is 2543310011.

It is a super-2 number, since 2×110013345202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11001334492 and 11001334501.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 723314 + ... + 738366.

It is an arithmetic number, because the mean of its divisors is an integer number (285310935).

Almost surely, 211001334520 is an apocalyptic number.

11001334520 is a gapful number since it is divisible by the number (10) 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 11001334520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13694924880).

11001334520 is an abundant number, since it is smaller than the sum of its proper divisors (16388515240).

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

11001334520 is a wasteful number, since it uses less digits than its factorization.

11001334520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15237 (or 15222 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 11001334520 its reverse (2543310011), we get a palindrome (13544644531).

The spelling of 11001334520 in words is "eleven billion, one million, three hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 151 220 242 302 440 484 604 605 755 968 1208 1210 1510 1661 2420 3020 3322 4840 6040 6644 8305 13288 15053 16610 18271 30106 33220 36542 60212 66440 73084 75265 91355 120424 146168 150530 165583 182710 301060 331166 365420 602120 662332 730840 827915 1324664 1655830 1821413 2273003 3311660 3642826 4546006 6623320 7285652 9092012 9107065 11365015 14571304 18184024 18214130 22730030 25003033 36428260 45460060 50006066 72856520 90920120 100012132 125015165 200024264 250030330 275033363 500060660 550066726 1000121320 1100133452 1375166815 2200266904 2750333630 5500667260 11001334520