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11010332132020 = 225131131351327733
BaseRepresentation
bin1010000000111000101011…
…1011111000001010110100
31102222120120222101100220201
42200032022323320022310
52420343130011211040
635230024325010244
72214320202643234
oct240161273701264
942876528340821
1011010332132020
1135655014a46a1
121299a61b53984
1361b367b7c840
142a0c8d873cc4
1514160d7c1a9a
hexa038aef82b4

11010332132020 has 96 divisors (see below), whose sum is σ = 25123411004832. Its totient is φ = 4028933357568.

The previous prime is 11010332132011. The next prime is 11010332132071. The reversal of 11010332132020 is 2023123301011.

It can be written as a sum of positive squares in 16 ways, for example, as 8991398056356 + 2018934075664 = 2998566^2 + 1420892^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396998074 + ... + 397025806.

It is an arithmetic number, because the mean of its divisors is an integer number (261702197967).

Almost surely, 211010332132020 is an apocalyptic number.

11010332132020 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 11010332132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12561705502416).

11010332132020 is an abundant number, since it is smaller than the sum of its proper divisors (14113078872812).

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

11010332132020 is a wasteful number, since it uses less digits than its factorization.

11010332132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41381 (or 41379 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 11010332132020 its reverse (2023123301011), we get a palindrome (13033455433031).

The spelling of 11010332132020 in words is "eleven trillion, ten billion, three hundred thirty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 2260 2938 5876 7345 13513 14690 27026 27733 29380 54052 55466 67565 110932 135130 138665 175669 270260 277330 351338 360529 554660 702676 721058 878345 1442116 1526969 1756690 1802645 3053938 3133829 3513380 3605290 6107876 6267658 7210580 7634845 12535316 15269690 15669145 19850597 30539380 31338290 39701194 40739777 62676580 79402388 81479554 99252985 162959108 198505970 203698885 374756029 397011940 407397770 749512058 814795540 1499024116 1873780145 3747560290 4871828377 7495120580 9743656754 19487313508 24359141885 42347431277 48718283770 84694862554 97436567540 169389725108 211737156385 423474312770 550516606601 846948625540 1101033213202 2202066426404 2752583033005 5505166066010 11010332132020