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11300212 = 22711191931
BaseRepresentation
bin101011000110…
…110101110100
3210021002222101
4223012311310
510343101322
61042111444
7165023140
oct53066564
923232871
1011300212
116419020
12394b584
132458621
141702220
15ed3327
hexac6d74

11300212 has 48 divisors (see below), whose sum is σ = 25966080. Its totient is φ = 4168800.

The previous prime is 11300167. The next prime is 11300251. The reversal of 11300212 is 21200311.

It is a super-3 number, since 3×113002123 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4887 + ... + 6817.

It is an arithmetic number, because the mean of its divisors is an integer number (540960).

Almost surely, 211300212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11300212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12983040).

11300212 is an abundant number, since it is smaller than the sum of its proper divisors (14665868).

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

11300212 is a wasteful number, since it uses less digits than its factorization.

11300212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11300212 is about 3361.5787957446. The cubic root of 11300212 is about 224.4031059885.

Adding to 11300212 its reverse (21200311), we get a palindrome (32500523).

Subtracting 11300212 from its reverse (21200311), we obtain a palindrome (9900099).

The spelling of 11300212 in words is "eleven million, three hundred thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 1931 2926 3862 5852 7724 13517 21241 27034 36689 42482 54068 73378 84964 146756 148687 256823 297374 403579 513646 594748 807158 1027292 1614316 2825053 5650106 11300212