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2005011 = 32222779
BaseRepresentation
bin111101001100000010011
310202212100200
413221200103
51003130021
6110550243
723020341
oct7514023
93685320
102005011
11114a438
12808383
135527c8
143a2991
15299126
hex1e9813

2005011 has 6 divisors (see below), whose sum is σ = 2896140. Its totient is φ = 1336668.

The previous prime is 2005001. The next prime is 2005019. The reversal of 2005011 is 1105002.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-2005011 is a prime.

It is a super-2 number, since 2×20050112 = 8040138220242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 222779 = 2005011 / (2 + 0 + 0 + 5 + 0 + 1 + 1).

2005011 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2004984 and 2005002.

It is not an unprimeable number, because it can be changed into a prime (2005019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111381 + ... + 111398.

It is an arithmetic number, because the mean of its divisors is an integer number (482690).

22005011 is an apocalyptic number.

2005011 is a deficient number, since it is larger than the sum of its proper divisors (891129).

2005011 is a wasteful number, since it uses less digits than its factorization.

2005011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222785 (or 222782 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 2005011 is about 1415.9841100803. The cubic root of 2005011 is about 126.0972416380.

Subtracting from 2005011 its reverse (1105002), we obtain a palindrome (900009).

The spelling of 2005011 in words is "two million, five thousand, eleven".

Divisors: 1 3 9 222779 668337 2005011