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11201112 = 2333133989
BaseRepresentation
bin101010101110…
…101001011000
3210002002001000
4222232221120
510331413422
61040025000
7164131206
oct52565130
923062030
1011201112
11636061a
123902160
1324224a0
1416b8076
15eb3cac
hexaaea58

11201112 has 64 divisors (see below), whose sum is σ = 33516000. Its totient is φ = 3445632.

The previous prime is 11201111. The next prime is 11201117. The reversal of 11201112 is 21110211.

It is a happy number.

11201112 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 11201094 and 11201103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814 + ... + 4802.

Almost surely, 211201112 is an apocalyptic number.

11201112 is a gapful number since it is divisible by the number (12) 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 11201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16758000).

11201112 is an abundant number, since it is smaller than the sum of its proper divisors (22314888).

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

11201112 is a wasteful number, since it uses less digits than its factorization.

11201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 11201112 is about 3346.8062387895. The cubic root of 11201112 is about 223.7451928266.

Adding to 11201112 its reverse (21110211), we get a palindrome (32311323).

Subtracting 11201112 from its reverse (21110211), we obtain a palindrome (9909099).

The spelling of 11201112 in words is "eleven million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 3989 7978 11967 15956 23934 31912 35901 47868 51857 71802 95736 103714 107703 143604 155571 207428 215406 287208 311142 414856 430812 466713 622284 861624 933426 1244568 1400139 1866852 2800278 3733704 5600556 11201112