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11002022328 = 23311174159791
BaseRepresentation
bin10100011111100010…
…11000100110111000
31001101202020122100110
422033301120212320
5140013004203303
65015415304320
7536432434563
oct121761304670
931352218313
1011002022328
11473639a240
12217067b0a0
131064484cab
147652794da
15445d3d703
hex28fc589b8

11002022328 has 128 divisors (see below), whose sum is σ = 32545981440. Its totient is φ = 3061248000.

The previous prime is 11002022327. The next prime is 11002022387. The reversal of 11002022328 is 82322020011.

It is a happy number.

11002022328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002022327) by changing a digit.

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, 154113 + ... + 213903.

It is an arithmetic number, because the mean of its divisors is an integer number (254265480).

Almost surely, 211002022328 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 11002022328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272990720).

11002022328 is an abundant number, since it is smaller than the sum of its proper divisors (21543959112).

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

11002022328 is a wasteful number, since it uses less digits than its factorization.

11002022328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59869 (or 59865 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11002022328 its reverse (82322020011), we get a palindrome (93324042339).

The spelling of 11002022328 in words is "eleven billion, two million, twenty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 41 44 51 66 68 82 88 102 123 132 136 164 187 204 246 264 328 374 408 451 492 561 697 748 902 984 1122 1353 1394 1496 1804 2091 2244 2706 2788 3608 4182 4488 5412 5576 7667 8364 10824 15334 16728 23001 30668 46002 59791 61336 92004 119582 179373 184008 239164 358746 478328 657701 717492 1016447 1315402 1434984 1973103 2032894 2451431 2630804 3049341 3946206 4065788 4902862 5261608 6098682 7354293 7892412 8131576 9805724 11180917 12197364 14708586 15784824 19611448 22361834 24394728 26965741 29417172 33542751 41674327 44723668 53931482 58834344 67085502 80897223 83348654 89447336 107862964 125022981 134171004 161794446 166697308 215725928 250045962 268342008 323588892 333394616 458417597 500091924 647177784 916835194 1000183848 1375252791 1833670388 2750505582 3667340776 5501011164 11002022328