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11002424220200 = 2352721122696349
BaseRepresentation
bin1010000000011011001110…
…0101100101101000101000
31102221211011212020211020202
42200012303211211220220
52420230431100021300
635222235515011332
72213620220543600
oct240066345455050
942854155224222
1011002424220200
113562113704486
121298415739b48
1361a6a773cc8a
142a073d4dbc00
151412e9416ad5
hexa01b3965a28

11002424220200 has 72 divisors (see below), whose sum is σ = 29757066756750. Its totient is φ = 3772259729280.

The previous prime is 11002424220077. The next prime is 11002424220211. The reversal of 11002424220200 is 202242420011.

It can be written as a sum of positive squares in 3 ways, for example, as 6357528559396 + 4644895660804 = 2521414^2 + 2155202^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 561338375 + ... + 561357974.

Almost surely, 211002424220200 is an apocalyptic number.

11002424220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002424220200 is an abundant number, since it is smaller than the sum of its proper divisors (18754642536550).

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

11002424220200 is a wasteful number, since it uses less digits than its factorization.

11002424220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122696379 (or 1122696363 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 11002424220200 its reverse (202242420011), we get a palindrome (11204666640211).

The spelling of 11002424220200 in words is "eleven trillion, two billion, four hundred twenty-four million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 1122696349 2245392698 4490785396 5613481745 7858874443 8981570792 11226963490 15717748886 22453926980 28067408725 31435497772 39294372215 44907853960 55012121101 56134817450 62870995544 78588744430 110024242202 112269634900 157177488860 196471861075 220048484404 224539269800 275060605505 314354977720 392943722150 440096968808 550121211010 785887444300 1100242422020 1375303027525 1571774888600 2200484844040 2750606055050 5501212110100 11002424220200