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2001042032 = 241111369557
BaseRepresentation
bin111011101000101…
…0111101001110000
312011110022110121212
41313101113221300
513044231321112
6530321135252
7100405401533
oct16721275160
95143273555
102001042032
11937599550
1247a18a528
1325b750752
1414da8aa1a
15baa1b522
hex77457a70

2001042032 has 20 divisors (see below), whose sum is σ = 4229475576. Its totient is φ = 909564480.

The previous prime is 2001042031. The next prime is 2001042037. The reversal of 2001042032 is 2302401002.

It is a junction number, because it is equal to n+sod(n) for n = 2001041998 and 2001042016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001042031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5684603 + ... + 5684954.

Almost surely, 22001042032 is an apocalyptic number.

2001042032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2001042032 is an abundant number, since it is smaller than the sum of its proper divisors (2228433544).

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

2001042032 is a wasteful number, since it uses less digits than its factorization.

2001042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11369576 (or 11369570 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2001042032 is about 44733.0083048301. The cubic root of 2001042032 is about 1260.1398249128.

Adding to 2001042032 its reverse (2302401002), we get a palindrome (4303443034).

The spelling of 2001042032 in words is "two billion, one million, forty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 11369557 22739114 45478228 90956456 125065127 181912912 250130254 500260508 1000521016 2001042032