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11200212 = 22321718301
BaseRepresentation
bin101010101110…
…011011010100
3210002000210200
4222232123110
510331401322
61040020500
7164125452
oct52563324
923060720
1011200212
11635a981
123901730
132421c5a
1416b79d2
15eb38ac
hexaae6d4

11200212 has 36 divisors (see below), whose sum is σ = 29978676. Its totient is φ = 3513600.

The previous prime is 11200157. The next prime is 11200213. The reversal of 11200212 is 21200211.

It can be written as a sum of positive squares in 2 ways, for example, as 3549456 + 7650756 = 1884^2 + 2766^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 11200194 and 11200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200213) 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 11 ways as a sum of consecutive naturals, for example, 8539 + ... + 9762.

It is an arithmetic number, because the mean of its divisors is an integer number (832741).

Almost surely, 211200212 is an apocalyptic number.

11200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11200212 is an abundant number, since it is smaller than the sum of its proper divisors (18778464).

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

11200212 is a wasteful number, since it uses less digits than its factorization.

11200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18328 (or 18323 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11200212 is about 3346.6717795446. The cubic root of 11200212 is about 223.7392000863.

Adding to 11200212 its reverse (21200211), we get a palindrome (32400423).

Subtracting 11200212 from its reverse (21200211), we obtain a palindrome (9999999).

The spelling of 11200212 in words is "eleven million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 18301 36602 54903 73204 109806 164709 219612 311117 329418 622234 658836 933351 1244468 1866702 2800053 3733404 5600106 11200212