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11201322 = 23112347157
BaseRepresentation
bin101010101110…
…101100101010
3210002002022210
4222232230222
510331420242
61040025550
7164131626
oct52565452
923062283
1011201322
1163607a0
1239022b6
132422602
1416b8186
15eb3d9c
hexaaeb2a

11201322 has 64 divisors (see below), whose sum is σ = 26210304. Its totient is φ = 3157440.

The previous prime is 11201321. The next prime is 11201341. The reversal of 11201322 is 22310211.

It is a super-2 number, since 2×112013222 = 250939229095368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11201298 and 11201307.

It is not an unprimeable number, because it can be changed into a prime (11201321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71268 + ... + 71424.

It is an arithmetic number, because the mean of its divisors is an integer number (409536).

Almost surely, 211201322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13105152).

11201322 is an abundant number, since it is smaller than the sum of its proper divisors (15008982).

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

11201322 is a wasteful number, since it uses less digits than its factorization.

11201322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11201322 is about 3346.8376118360. The cubic root of 11201322 is about 223.7465910865.

Adding to 11201322 its reverse (22310211), we get a palindrome (33511533).

Subtracting 11201322 from its reverse (22310211), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1120 and 1322, that added together give a palindrome (2442).

The spelling of 11201322 in words is "eleven million, two hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 33 46 47 66 69 94 138 141 157 253 282 314 471 506 517 759 942 1034 1081 1518 1551 1727 2162 3102 3243 3454 3611 5181 6486 7222 7379 10362 10833 11891 14758 21666 22137 23782 35673 39721 44274 71346 79442 81169 119163 162338 169717 238326 243507 339434 487014 509151 1018302 1866887 3733774 5600661 11201322