Search a number
-
+
2003103200 = 255271753397
BaseRepresentation
bin111011101100100…
…1110110111100000
312011121012012000102
41313121032313200
513100243300300
6530433241532
7100432045010
oct16731166740
95147165012
102003103200
1193877709a
1247aa032a8
1325bcc2987
14150065c40
15bacc70d5
hex7764ede0

2003103200 has 288 divisors, whose sum is σ = 6044238144. Its totient is φ = 632586240.

The previous prime is 2003103197. The next prime is 2003103211. The reversal of 2003103200 is 23013002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5045402 + ... + 5045798.

It is an arithmetic number, because the mean of its divisors is an integer number (20986938).

Almost surely, 22003103200 is an apocalyptic number.

2003103200 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 2003103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022119072).

2003103200 is an abundant number, since it is smaller than the sum of its proper divisors (4041134944).

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

2003103200 is a wasteful number, since it uses less digits than its factorization.

2003103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2003103200 is about 44756.0409330405. The cubic root of 2003103200 is about 1260.5723443285.

Adding to 2003103200 its reverse (23013002), we get a palindrome (2026116202).

The spelling of 2003103200 in words is "two billion, three million, one hundred three thousand, two hundred".