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20011003000 = 235397206299
BaseRepresentation
bin10010101000101111…
…111010110001111000
31220122121020021112021
4102220233322301320
5311440304044000
613105401124224
71305614501422
oct225057726170
956577207467
1020011003000
11853976480a
123a65789674
131b6ba5aba1
14d7b94b812
157c1be111a
hex4a8bfac78

20011003000 has 64 divisors (see below), whose sum is σ = 47308716000. Its totient is φ = 7921843200.

The previous prime is 20011002967. The next prime is 20011003013. The reversal of 20011003000 is 30011002.

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 15 ways as a sum of consecutive naturals, for example, 6150 + ... + 200149.

Almost surely, 220011003000 is an apocalyptic number.

20011003000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23654358000).

20011003000 is an abundant number, since it is smaller than the sum of its proper divisors (27297713000).

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

20011003000 is a wasteful number, since it uses less digits than its factorization.

20011003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206417 (or 206403 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 20011003000 its reverse (30011002), we get a palindrome (20041014002).

It can be divided in two parts, 2001 and 1003000, that added together give a palindrome (1005001).

The spelling of 20011003000 in words is "twenty billion, eleven million, three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 250 388 485 500 776 970 1000 1940 2425 3880 4850 9700 12125 19400 24250 48500 97000 206299 412598 825196 1031495 1650392 2062990 4125980 5157475 8251960 10314950 20011003 20629900 25787375 40022006 41259800 51574750 80044012 100055015 103149500 160088024 200110030 206299000 400220060 500275075 800440120 1000550150 2001100300 2501375375 4002200600 5002750750 10005501500 20011003000