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11201106 = 2372311229
BaseRepresentation
bin101010101110…
…101001010010
3210002002000210
4222232221102
510331413411
61040024550
7164131200
oct52565122
923062023
1011201106
116360614
123902156
132422497
1416b8070
15eb3ca6
hexaaea52

11201106 has 48 divisors (see below), whose sum is σ = 26922240. Its totient is φ = 3094560.

The previous prime is 11201101. The next prime is 11201107. The reversal of 11201106 is 60110211.

It is a happy number.

11201106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11201091 and 11201100.

It is not an unprimeable number, because it can be changed into a prime (11201101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8500 + ... + 9728.

It is an arithmetic number, because the mean of its divisors is an integer number (560880).

Almost surely, 211201106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13461120).

11201106 is an abundant number, since it is smaller than the sum of its proper divisors (15721134).

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

11201106 is a wasteful number, since it uses less digits than its factorization.

11201106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1272 counting only the distinct ones).

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

The square root of 11201106 is about 3346.8053424124. The cubic root of 11201106 is about 223.7451528761.

Adding to 11201106 its reverse (60110211), we get a palindrome (71311317).

The spelling of 11201106 in words is "eleven million, two hundred one thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1229 1302 1519 2458 3038 3687 4557 7374 8603 9114 17206 25809 38099 51618 60221 76198 114297 120442 180663 228594 266693 361326 533386 800079 1600158 1866851 3733702 5600553 11201106