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1003113 = 32227491
BaseRepresentation
bin11110100111001101001
31212222000100
43310321221
5224044423
633300013
711345346
oct3647151
91788010
101003113
11625721
12404609
13291777
141c17cd
1514c343
hexf4e69

1003113 has 12 divisors (see below), whose sum is σ = 1458288. Its totient is φ = 664440.

The previous prime is 1003111. The next prime is 1003133. The reversal of 1003113 is 3113001.

It is not a de Polignac number, because 1003113 - 21 = 1003111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1003095 and 1003104.

It is not an unprimeable number, because it can be changed into a prime (1003111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1798 + ... + 2288.

It is an arithmetic number, because the mean of its divisors is an integer number (121524).

21003113 is an apocalyptic number.

It is an amenable number.

1003113 is a deficient number, since it is larger than the sum of its proper divisors (455175).

1003113 is a wasteful number, since it uses less digits than its factorization.

1003113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 721 counting only the distinct ones).

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

The square root of 1003113 is about 1001.5552905357. Note that the first 3 decimals coincide. The cubic root of 1003113 is about 100.1036591773.

Adding to 1003113 its reverse (3113001), we get a palindrome (4116114).

The spelling of 1003113 in words is "one million, three thousand, one hundred thirteen".

Divisors: 1 3 9 227 491 681 1473 2043 4419 111457 334371 1003113