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11002221020 = 22571312632281
BaseRepresentation
bin10100011111100100…
…01001000111011100
31001101202121201220102
422033302021013130
5140013032033040
65015423440232
7536434223060
oct121762110734
931352551812
1011002221020
11473651554a
122170756078
13106452456b
147652cbaa0
15445d7c515
hex28fc891dc

11002221020 has 96 divisors (see below), whose sum is σ = 26719773696. Its totient is φ = 3727526400.

The previous prime is 11002221001. The next prime is 11002221079. The reversal of 11002221020 is 2012220011.

It is a happy number.

11002221020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11002220992 and 11002221010.

It is a congruent number.

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, 4822280 + ... + 4824560.

It is an arithmetic number, because the mean of its divisors is an integer number (278330976).

Almost surely, 211002221020 is an apocalyptic number.

11002221020 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 11002221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13359886848).

11002221020 is an abundant number, since it is smaller than the sum of its proper divisors (15717552676).

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

11002221020 is a wasteful number, since it uses less digits than its factorization.

11002221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11002221020 its reverse (2012220011), we get a palindrome (13014441031).

The spelling of 11002221020 in words is "eleven billion, two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 263 524 526 655 917 1052 1310 1315 1834 1841 2281 2620 2630 3668 3682 4562 4585 5260 7364 9124 9170 9205 11405 15967 18340 18410 22810 31934 34453 36820 45620 63868 68906 79835 137812 159670 172265 241171 298811 319340 344530 482342 597622 599903 689060 964684 1195244 1199806 1205855 1494055 2091677 2399612 2411710 2988110 2999515 4183354 4199321 4823420 5976220 5999030 8366708 8398642 10458385 11998060 16797284 20916770 20996605 41833540 41993210 78587293 83986420 157174586 314349172 392936465 550111051 785872930 1100222102 1571745860 2200444204 2750555255 5501110510 11002221020