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2003030200 = 235225139901
BaseRepresentation
bin111011101100011…
…1101000010111000
312011121001110212201
41313120331002320
513100233431300
6530431515544
7100431322123
oct16730750270
95147043781
102003030200
11938727266
1247a988bb4
1325bc98692
141500473ba
15bacb066a
hex7763d0b8

2003030200 has 48 divisors (see below), whose sum is σ = 4675716360. Its totient is φ = 798000000.

The previous prime is 2003030189. The next prime is 2003030207. The reversal of 2003030200 is 20303002.

It is a super-2 number, since 2×20030302002 = 8024259964224080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003030207) 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 11 ways as a sum of consecutive naturals, for example, 30250 + ... + 70150.

Almost surely, 22003030200 is an apocalyptic number.

2003030200 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 2003030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337858180).

2003030200 is an abundant number, since it is smaller than the sum of its proper divisors (2672686160).

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

2003030200 is a wasteful number, since it uses less digits than its factorization.

2003030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40168 (or 40159 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 2003030200 is about 44755.2253932432. The cubic root of 2003030200 is about 1260.5570309389.

Adding to 2003030200 its reverse (20303002), we get a palindrome (2023333202).

The spelling of 2003030200 in words is "two billion, three million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 251 502 1004 1255 2008 2510 5020 6275 10040 12550 25100 39901 50200 79802 159604 199505 319208 399010 798020 997525 1596040 1995050 3990100 7980200 10015151 20030302 40060604 50075755 80121208 100151510 200303020 250378775 400606040 500757550 1001515100 2003030200