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2011332040 = 23550283301
BaseRepresentation
bin111011111100010…
…0111110111001000
312012011200020212021
41313320213313020
513104400111130
6531325454224
7100562016544
oct16770476710
95164606767
102011332040
11942387593
12481711374
13260914303
141511a8a24
15bb8a037a
hex77e27dc8

2011332040 has 16 divisors (see below), whose sum is σ = 4525497180. Its totient is φ = 804532800.

The previous prime is 2011332023. The next prime is 2011332041. The reversal of 2011332040 is 402331102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2010804964 + 527076 = 44842^2 + 726^2 .

It is not an unprimeable number, because it can be changed into a prime (2011332041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25141611 + ... + 25141690.

Almost surely, 22011332040 is an apocalyptic number.

2011332040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011332040 is an abundant number, since it is smaller than the sum of its proper divisors (2514165140).

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

2011332040 is a wasteful number, since it uses less digits than its factorization.

2011332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50283312 (or 50283308 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2011332040 is about 44847.8766498482. The cubic root of 2011332040 is about 1262.2961490297.

Adding to 2011332040 its reverse (402331102), we get a palindrome (2413663142).

The spelling of 2011332040 in words is "two billion, eleven million, three hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 50283301 100566602 201133204 251416505 402266408 502833010 1005666020 2011332040