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11203312 = 2419137269
BaseRepresentation
bin101010101111…
…001011110000
3210002012001111
4222233023300
510332001222
61040043104
7164140501
oct52571360
923065044
1011203312
11636223a
123903494
1324234a3
1416b8ba8
15eb4777
hexaaf2f0

11203312 has 40 divisors (see below), whose sum is σ = 23101200. Its totient is φ = 5248512.

The previous prime is 11203301. The next prime is 11203327. The reversal of 11203312 is 21330211.

It is a junction number, because it is equal to n+sod(n) for n = 11203292 and 11203301.

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 7 ways as a sum of consecutive naturals, for example, 41514 + ... + 41782.

It is an arithmetic number, because the mean of its divisors is an integer number (577530).

Almost surely, 211203312 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 11203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11550600).

11203312 is an abundant number, since it is smaller than the sum of its proper divisors (11897888).

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

11203312 is a wasteful number, since it uses less digits than its factorization.

11203312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 11203312 is about 3347.1348942043. The cubic root of 11203312 is about 223.7598403962.

Adding to 11203312 its reverse (21330211), we get a palindrome (32533523).

The spelling of 11203312 in words is "eleven million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 137 152 269 274 304 538 548 1076 1096 2152 2192 2603 4304 5111 5206 10222 10412 20444 20824 36853 40888 41648 73706 81776 147412 294824 589648 700207 1400414 2800828 5601656 11203312