Search a number
-
+
11002222002208 = 253146171933461
BaseRepresentation
bin1010000000011010011110…
…0010001100000000100000
31102221210122202202002022111
42200012213202030000200
52420230022313032313
635222203452445104
72213612213661013
oct240064742140040
942853582662274
1011002222002208
11356201a547078
121298379a79794
1361a67488a268
142a07206dd37a
151412d67c043d
hexa01a788c020

11002222002208 has 96 divisors (see below), whose sum is σ = 22439692154880. Its totient is φ = 5304561024000.

The previous prime is 11002222002103. The next prime is 11002222002209. The reversal of 11002222002208 is 80220022220011.

It is not an unprimeable number, because it can be changed into a prime (11002222002209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328790598 + ... + 328824058.

It is an arithmetic number, because the mean of its divisors is an integer number (233746793280).

Almost surely, 211002222002208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002222002208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11219846077440).

11002222002208 is an abundant number, since it is smaller than the sum of its proper divisors (11437470152672).

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

11002222002208 is a wasteful number, since it uses less digits than its factorization.

11002222002208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34682 (or 34674 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 11002222002208 its reverse (80220022220011), we get a palindrome (91222244222219).

The spelling of 11002222002208 in words is "eleven trillion, two billion, two hundred twenty-two million, two thousand, two hundred eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 461 496 719 922 992 1438 1844 2876 3688 5752 7376 11504 14291 14752 22289 23008 28582 33461 44578 57164 66922 89156 114328 133844 178312 228656 267688 331459 356624 457312 535376 662918 713248 1037291 1070752 1325836 2074582 2651672 4149164 5303344 8298328 10275229 10606688 15425521 16596656 20550458 24058459 30851042 33193312 41100916 48116918 61702084 82201832 96233836 123404168 164403664 192467672 246808336 328807328 384935344 478191151 493616672 745812229 769870688 956382302 1491624458 1912764604 2983248916 3825529208 5966497832 7651058416 11090949599 11932995664 15302116832 22181899198 23865991328 44363798396 88727596792 177455193584 343819437569 354910387168 687638875138 1375277750276 2750555500552 5501111001104 11002222002208