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11202112 = 261011733
BaseRepresentation
bin101010101110…
…111001000000
3210002010102001
4222232321000
510331431422
61040033344
7164134135
oct52567100
923063361
1011202112
116361349
123902854
132422a8c
1416b858c
15eb4227
hexaaee40

11202112 has 28 divisors (see below), whose sum is σ = 22462236. Its totient is φ = 5542400.

The previous prime is 11202097. The next prime is 11202119. The reversal of 11202112 is 21120211.

It can be written as a sum of positive squares in 2 ways, for example, as 8433216 + 2768896 = 2904^2 + 1664^2 .

It is not an unprimeable number, because it can be changed into a prime (11202119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5598 + ... + 7330.

Almost surely, 211202112 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 11202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11231118).

11202112 is an abundant number, since it is smaller than the sum of its proper divisors (11260124).

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

11202112 is a wasteful number, since it uses less digits than its factorization.

11202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 11202112 is about 3346.9556316151. The cubic root of 11202112 is about 223.7518510505.

Adding to 11202112 its reverse (21120211), we get a palindrome (32322323).

It can be divided in two parts, 1120211 and 2, that multiplied together give a palindrome (2240422).

The spelling of 11202112 in words is "eleven million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 1733 3232 3466 6464 6932 13864 27728 55456 110912 175033 350066 700132 1400264 2800528 5601056 11202112