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1003112 = 231111399
BaseRepresentation
bin11110100111001101000
31212222000022
43310321220
5224044422
633300012
711345345
oct3647150
91788008
101003112
11625720
12404608
13291776
141c17cc
1514c342
hexf4e68

1003112 has 16 divisors (see below), whose sum is σ = 2052000. Its totient is φ = 455920.

The previous prime is 1003111. The next prime is 1003133. The reversal of 1003112 is 2113001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1003112.

It is not an unprimeable number, because it can be changed into a prime (1003111) 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, 5612 + ... + 5787.

It is an arithmetic number, because the mean of its divisors is an integer number (128250).

21003112 is an apocalyptic number.

It is an amenable number.

1003112 is an abundant number, since it is smaller than the sum of its proper divisors (1048888).

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

1003112 is a wasteful number, since it uses less digits than its factorization.

1003112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11416 (or 11412 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1003112 is about 1001.5547913120. The cubic root of 1003112 is about 100.1036259129.

Adding to 1003112 its reverse (2113001), we get a palindrome (3116113).

The spelling of 1003112 in words is "one million, three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 11399 22798 45596 91192 125389 250778 501556 1003112