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11021302224 = 24324711314411
BaseRepresentation
bin10100100001110101…
…11011100111010000
31001110002112011101200
422100322323213100
5140032423132344
65021344431200
7540055344312
oct122072734720
931402464350
1011021302224
114746268539
122177018500
13106847570a
14767a577b2
1544789b069
hex290ebb9d0

11021302224 has 120 divisors (see below), whose sum is σ = 31781572992. Its totient is φ = 3563535360.

The previous prime is 11021302217. The next prime is 11021302261. The reversal of 11021302224 is 42220312011.

It is a happy number.

11021302224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11021302197 and 11021302206.

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 23 ways as a sum of consecutive naturals, for example, 757579 + ... + 771989.

Almost surely, 211021302224 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 11021302224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15890786496).

11021302224 is an abundant number, since it is smaller than the sum of its proper divisors (20760270768).

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

11021302224 is a wasteful number, since it uses less digits than its factorization.

11021302224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14585 (or 14576 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11021302224 its reverse (42220312011), we get a palindrome (53241614235).

The spelling of 11021302224 in words is "eleven billion, twenty-one million, three hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 113 141 144 188 226 282 339 376 423 452 564 678 752 846 904 1017 1128 1356 1692 1808 2034 2256 2712 3384 4068 5311 5424 6768 8136 10622 14411 15933 16272 21244 28822 31866 42488 43233 47799 57644 63732 84976 86466 95598 115288 127464 129699 172932 191196 230576 254928 259398 345864 382392 518796 677317 691728 764784 1037592 1354634 1628443 2031951 2075184 2709268 3256886 4063902 4885329 5418536 6095853 6513772 8127804 9770658 10837072 12191706 13027544 14655987 16255608 19541316 24383412 26055088 29311974 32511216 39082632 48766824 58623948 76536821 78165264 97533648 117247896 153073642 229610463 234495792 306147284 459220926 612294568 688831389 918441852 1224589136 1377662778 1836883704 2755325556 3673767408 5510651112 11021302224