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2003131300 = 225220031313
BaseRepresentation
bin111011101100101…
…0101101110100100
312011121020121120011
41313121111232210
513100300200200
6530434020004
7100432222642
oct16731255644
95147217504
102003131300
11938796215
1247aa17604
1325c0026c1
14150072192
15bacd05ba
hex77655ba4

2003131300 has 18 divisors (see below), whose sum is σ = 4346795138. Its totient is φ = 801252480.

The previous prime is 2003131289. The next prime is 2003131303. The reversal of 2003131300 is 31313002.

It can be written as a sum of positive squares in 3 ways, for example, as 551216484 + 1451914816 = 23478^2 + 38104^2 .

It is not an unprimeable number, because it can be changed into a prime (2003131303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10015557 + ... + 10015756.

Almost surely, 22003131300 is an apocalyptic number.

2003131300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003131300 is an abundant number, since it is smaller than the sum of its proper divisors (2343663838).

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

2003131300 is a wasteful number, since it uses less digits than its factorization.

2003131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20031327 (or 20031320 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2003131300 is about 44756.3548560425. The cubic root of 2003131300 is about 1260.5782388354.

Adding to 2003131300 its reverse (31313002), we get a palindrome (2034444302).

The spelling of 2003131300 in words is "two billion, three million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20031313 40062626 80125252 100156565 200313130 400626260 500782825 1001565650 2003131300