Search a number
-
+
20012002000 = 245310006001
BaseRepresentation
bin10010101000110011…
…101110101011010000
31220122200010000220021
4102220303232223100
5311441033031000
613105434353224
71305626132104
oct225063565320
956580100807
1020012002000
11853a287331
123a65b8b814
131b6c01a803
14d7bb2b904
157c1d3c11a
hex4a8ceead0

20012002000 has 40 divisors (see below), whose sum is σ = 48389025672. Its totient is φ = 8004800000.

The previous prime is 20012001991. The next prime is 20012002001. The reversal of 20012002000 is 20021002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 399680064 + 19612321936 = 19992^2 + 140044^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20012002001) 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 7 ways as a sum of consecutive naturals, for example, 5001001 + ... + 5005000.

Almost surely, 220012002000 is an apocalyptic number.

20012002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012002000 is an abundant number, since it is smaller than the sum of its proper divisors (28377023672).

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

20012002000 is a wasteful number, since it uses less digits than its factorization.

20012002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10006024 (or 10006008 counting only the distinct ones).

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

Adding to 20012002000 its reverse (20021002), we get a palindrome (20032023002).

The spelling of 20012002000 in words is "twenty billion, twelve million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10006001 20012002 40024004 50030005 80048008 100060010 160096016 200120020 250150025 400240040 500300050 800480080 1000600100 1250750125 2001200200 2501500250 4002400400 5003000500 10006001000 20012002000