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11002021100 = 2252728155933
BaseRepresentation
bin10100011111100010…
…11000010011101100
31001101202020120122222
422033301120103230
5140013004133400
65015415254512
7536432431160
oct121761302354
931352216588
1011002021100
114736399324
12217067a438
131064484575
14765278ca0
15445d3d185
hex28fc584ec

11002021100 has 72 divisors (see below), whose sum is σ = 27382601568. Its totient is φ = 3758630400.

The previous prime is 11002021097. The next prime is 11002021111. The reversal of 11002021100 is 112020011.

11002021100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 168734 + ... + 224666.

Almost surely, 211002021100 is an apocalyptic number.

11002021100 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 11002021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13691300784).

11002021100 is an abundant number, since it is smaller than the sum of its proper divisors (16380580468).

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

11002021100 is a wasteful number, since it uses less digits than its factorization.

11002021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56235 (or 56228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11002021100 its reverse (112020011), we get a palindrome (11114041111).

The spelling of 11002021100 in words is "eleven billion, two million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 281 350 562 700 1124 1405 1967 2810 3934 5620 7025 7868 9835 14050 19670 28100 39340 49175 55933 98350 111866 196700 223732 279665 391531 559330 783062 1118660 1398325 1566124 1957655 2796650 3915310 5593300 7830620 9788275 15717173 19576550 31434346 39153100 62868692 78585865 110020211 157171730 220040422 314343460 392929325 440080844 550101055 785858650 1100202110 1571717300 2200404220 2750505275 5501010550 11002021100