Search a number
-
+
200003010000 = 24354311091973
BaseRepresentation
bin1011101001000100011…
…0111011110111010000
3201010020112221121102220
42322101012323313100
511234101232310000
6231514034341040
720310155351343
oct2722106736720
9633215847386
10200003010000
1177903537702
123291872a780
1315b24b34241
14997466645a
15530886b1a0
hex2e911bbdd0

200003010000 has 400 divisors, whose sum is σ = 672918597120. Its totient is φ = 51114240000.

The previous prime is 200003009951. The next prime is 200003010001. The reversal of 200003010000 is 10300002.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200003010001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 101369014 + ... + 101370986.

Almost surely, 2200003010000 is an apocalyptic number.

200003010000 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 200003010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336459298560).

200003010000 is an abundant number, since it is smaller than the sum of its proper divisors (472915587120).

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

200003010000 is a wasteful number, since it uses less digits than its factorization.

200003010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2123 counting only the distinct ones).

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

Adding to 200003010000 its reverse (10300002), we get a palindrome (200013310002).

The spelling of 200003010000 in words is "two hundred billion, three million, ten thousand".