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11002002200200 = 23521113033837997
BaseRepresentation
bin1010000000011001101001…
…1011101101011010001000
31102221210002110010222122101
42200012122123231122020
52420224100030401300
635222130001403144
72213603604460564
oct240063233553210
942853073128571
1011002002200200
113561a17469620
1212983183394b4
1361a63b18b9bb
142a06dd4446a4
151412c2353b6a
hexa019a6ed688

11002002200200 has 96 divisors (see below), whose sum is σ = 27926501607360. Its totient is φ = 3997656633600.

The previous prime is 11002002200191. The next prime is 11002002200213. The reversal of 11002002200200 is 200220020011.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 947602 + ... + 4785598.

It is an arithmetic number, because the mean of its divisors is an integer number (290901058410).

Almost surely, 211002002200200 is an apocalyptic number.

11002002200200 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 11002002200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13963250803680).

11002002200200 is an abundant number, since it is smaller than the sum of its proper divisors (16924499407160).

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

11002002200200 is a wasteful number, since it uses less digits than its factorization.

11002002200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839327 (or 3839318 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 11002002200200 its reverse (200220020011), we get a palindrome (11202222220211).

The spelling of 11002002200200 in words is "eleven trillion, two billion, two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1303 2200 2606 5212 6515 10424 13030 14333 26060 28666 32575 52120 57332 65150 71665 114664 130300 143330 260600 286660 358325 573320 716650 1433300 2866600 3837997 7675994 15351988 19189985 30703976 38379970 42217967 76759940 84435934 95949925 153519880 168871868 191899850 211089835 337743736 383799700 422179670 767599400 844359340 1055449175 1688718680 2110898350 4221796700 5000910091 8443593400 10001820182 20003640364 25004550455 40007280728 50009100910 55010011001 100018201820 110020022002 125022752275 200036403640 220040044004 250045504550 275050055005 440080088008 500091009100 550100110010 1000182018200 1100200220020 1375250275025 2200400440040 2750500550050 5501001100100 11002002200200