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20011010000 = 24542001101
BaseRepresentation
bin10010101000101111…
…111100011111010000
31220122121020122010112
4102220233330133100
5311440304310000
613105401220452
71305614531012
oct225057743720
956577218115
1020011010000
118539769aa3
123a65791728
131b6ba61127
14d7b9501b2
157c1be3235
hex4a8bfc7d0

20011010000 has 50 divisors (see below), whose sum is σ = 48448680522. Its totient is φ = 8004400000.

The previous prime is 20011009987. The next prime is 20011010009. The reversal of 20011010000 is 1011002.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 12845048896 + 7165961104 = 113336^2 + 84652^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011010009) 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 9 ways as a sum of consecutive naturals, for example, 990551 + ... + 1010550.

Almost surely, 220011010000 is an apocalyptic number.

20011010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011010000 is an abundant number, since it is smaller than the sum of its proper divisors (28437670522).

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

20011010000 is an equidigital number, since it uses as much as digits as its factorization.

20011010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001129 (or 2001108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 20011010000 its reverse (1011002), we get a palindrome (20012021002).

The spelling of 20011010000 in words is "twenty billion, eleven million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 2001101 4002202 8004404 10005505 16008808 20011010 32017616 40022020 50027525 80044040 100055050 160088080 200110100 250137625 400220200 500275250 800440400 1000550500 1250688125 2001101000 2501376250 4002202000 5002752500 10005505000 20011010000