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11000112122220 = 22351325693548893
BaseRepresentation
bin1010000000010010100111…
…0001101000100101101100
31102221121012201122002002020
42200010221301220211230
52420211212200402340
635221214242430140
72213506014204264
oct240045161504554
942847181562066
1011000112122220
113561137580001
121297a8b362350
1361a3c9720370
142a05a04007a4
151412114559d0
hexa0129c6896c

11000112122220 has 96 divisors (see below), whose sum is σ = 33170920289472. Its totient is φ = 2707609586688.

The previous prime is 11000112122179. The next prime is 11000112122231. The reversal of 11000112122220 is 2222121100011.

It is a super-2 number, since 2×110001121222202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11000112122220.

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 31 ways as a sum of consecutive naturals, for example, 19766094 + ... + 20314986.

It is an arithmetic number, because the mean of its divisors is an integer number (345530419682).

Almost surely, 211000112122220 is an apocalyptic number.

11000112122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000112122220 is an abundant number, since it is smaller than the sum of its proper divisors (22170808167252).

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

11000112122220 is a wasteful number, since it uses less digits than its factorization.

11000112122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574611 (or 574609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11000112122220 its reverse (2222121100011), we get a palindrome (13222233222231).

The spelling of 11000112122220 in words is "eleven trillion, one hundred twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 25693 51386 77079 102772 128465 154158 256930 308316 334009 385395 513860 548893 668018 770790 1002027 1097786 1336036 1541580 1646679 1670045 2004054 2195572 2744465 3293358 3340090 4008108 5010135 5488930 6586716 6680180 7135609 8233395 10020270 10977860 14271218 16466790 20040540 21406827 28542436 32933580 35678045 42813654 71356090 85627308 107034135 142712180 214068270 428136540 14102707849 28205415698 42308123547 56410831396 70513539245 84616247094 141027078490 169232494188 183335202037 211540617735 282054156980 366670404074 423081235470 550005606111 733340808148 846162470940 916676010185 1100011212222 1833352020370 2200022424444 2750028030555 3666704040740 5500056061110 11000112122220