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203020000 = 255410151
BaseRepresentation
bin11000001100111…
…01011011100000
3112011000111002021
430012131123200
5403433120000
632051231224
75013433021
oct1406353340
9464014067
10203020000
11a4665a27
1257ba8514
13330a3aa1
141cd6ac48
1512c5411a
hexc19d6e0

203020000 has 60 divisors (see below), whose sum is σ = 499508856. Its totient is φ = 81200000.

The previous prime is 203019991. The next prime is 203020009. The reversal of 203020000 is 20302.

It is an interprime number because it is at equal distance from previous prime (203019991) and next prime (203020009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14925 + ... + 25075.

Almost surely, 2203020000 is an apocalyptic number.

203020000 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 203020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249754428).

203020000 is an abundant number, since it is smaller than the sum of its proper divisors (296488856).

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

203020000 is an equidigital number, since it uses as much as digits as its factorization.

203020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10181 (or 10158 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 203020000 is about 14248.5086938950. The cubic root of 203020000 is about 587.7323662090.

Adding to 203020000 its reverse (20302), we get a palindrome (203040302).

Multiplying 203020000 by its reverse (20302), we get a square (4121712040000 = 20302002).

203020000 divided by its reverse (20302) gives a 4-th power (10000 = 104).

The spelling of 203020000 in words is "two hundred three million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 10151 20000 20302 40604 50755 81208 101510 162416 203020 253775 324832 406040 507550 812080 1015100 1268875 1624160 2030200 2537750 4060400 5075500 6344375 8120800 10151000 12688750 20302000 25377500 40604000 50755000 101510000 203020000