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11201303322 = 2331186321851
BaseRepresentation
bin10100110111010011…
…00101001100011010
31001220122020011111000
422123221211030122
5140420013201242
65051254445430
7544402335666
oct123351451432
931818204430
1011201303322
114828930a80
122207363876
131096849c41
147839118a6
154585a4a4c
hex29ba6531a

11201303322 has 64 divisors (see below), whose sum is σ = 27187384320. Its totient is φ = 3390246000.

The previous prime is 11201303249. The next prime is 11201303329. The reversal of 11201303322 is 22330310211.

11201303322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112013033222 (a number of 21 digits) contains 22 as substring.

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 = 11201303295 and 11201303304.

It is not an unprimeable number, because it can be changed into a prime (11201303329) 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, 501697 + ... + 523547.

It is an arithmetic number, because the mean of its divisors is an integer number (424802880).

Almost surely, 211201303322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201303322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13593692160).

11201303322 is an abundant number, since it is smaller than the sum of its proper divisors (15986080998).

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

11201303322 is a wasteful number, since it uses less digits than its factorization.

11201303322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22736 (or 22730 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11201303322 its reverse (22330310211), we get a palindrome (33531613533).

The spelling of 11201303322 in words is "eleven billion, two hundred one million, three hundred three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 863 1726 2589 5178 7767 9493 15534 18986 21851 23301 28479 43702 46602 56958 65553 85437 131106 170874 196659 240361 256311 393318 480722 512622 589977 721083 1179954 1442166 2163249 4326498 6489747 12979494 18857413 37714826 56572239 113144478 169716717 207431543 339433434 414863086 509150151 622294629 1018300302 1244589258 1866883887 3733767774 5600651661 11201303322