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2003132300 = 2252131540871
BaseRepresentation
bin111011101100101…
…0101111110001100
312011121020122221012
41313121111332030
513100300213200
6530434024352
7100432225601
oct16731257614
95147218835
102003132300
11938796a44
1247aa180b8
1325c002cb0
141500726a8
15bacd0a35
hex77655f8c

2003132300 has 36 divisors (see below), whose sum is σ = 4681169136. Its totient is φ = 739617600.

The previous prime is 2003132291. The next prime is 2003132303. The reversal of 2003132300 is 32313002.

It is a super-2 number, since 2×20031323002 = 8025078022606580000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2003132303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 769136 + ... + 771735.

It is an arithmetic number, because the mean of its divisors is an integer number (130032476).

Almost surely, 22003132300 is an apocalyptic number.

2003132300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003132300 is an abundant number, since it is smaller than the sum of its proper divisors (2678036836).

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

2003132300 is a wasteful number, since it uses less digits than its factorization.

2003132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540898 (or 1540891 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2003132300 is about 44756.3660276390. The cubic root of 2003132300 is about 1260.5784486033.

Adding to 2003132300 its reverse (32313002), we get a palindrome (2035445302).

The spelling of 2003132300 in words is "two billion, three million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1540871 3081742 6163484 7704355 15408710 20031323 30817420 38521775 40062646 77043550 80125292 100156615 154087100 200313230 400626460 500783075 1001566150 2003132300