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2012000020 = 225757132893
BaseRepresentation
bin111011111101100…
…1010111100010100
312012012221012011021
41313323022330110
513110033000040
6531352050524
7100600501162
oct16773127424
95165835137
102012000020
119427a3438
12481993a44
13260ab9374
14151300232
15bb98324a
hex77ecaf14

2012000020 has 24 divisors (see below), whose sum is σ = 4230813384. Its totient is φ = 803730816.

The previous prime is 2012000009. The next prime is 2012000033. The reversal of 2012000020 is 200002102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 747913104 + 1264086916 = 27348^2 + 35554^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2011999967 and 2012000012.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 51307 + ... + 81586.

It is an arithmetic number, because the mean of its divisors is an integer number (176283891).

Almost surely, 22012000020 is an apocalyptic number.

2012000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012000020 is an abundant number, since it is smaller than the sum of its proper divisors (2218813364).

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

2012000020 is a wasteful number, since it uses less digits than its factorization.

2012000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133659 (or 133657 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2012000020 is about 44855.3232069506. The cubic root of 2012000020 is about 1262.4358732255.

Adding to 2012000020 its reverse (200002102), we get a palindrome (2212002122).

The spelling of 2012000020 in words is "two billion, twelve million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 10 20 757 1514 3028 3785 7570 15140 132893 265786 531572 664465 1328930 2657860 100600001 201200002 402400004 503000005 1006000010 2012000020