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203030100 = 2232527133767
BaseRepresentation
bin11000001100111…
…11111001010100
3112011000222221100
430012133321110
5403433430400
632051350100
75013504330
oct1406377124
9464028840
10203030100
11a4672579
1257bb2330
13330a8570
141cd707c0
1512c57100
hexc19fe54

203030100 has 432 divisors, whose sum is σ = 816419968. Its totient is φ = 41057280.

The previous prime is 203030081. The next prime is 203030101. The reversal of 203030100 is 1030302.

It is a happy number.

203030100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203030101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3030267 + ... + 3030333.

Almost surely, 2203030100 is an apocalyptic number.

203030100 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 203030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408209984).

203030100 is an abundant number, since it is smaller than the sum of its proper divisors (613389868).

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

203030100 is a wasteful number, since it uses less digits than its factorization.

203030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 203030100 is about 14248.8631125434. The cubic root of 203030100 is about 587.7421123727.

Adding to 203030100 its reverse (1030302), we get a palindrome (204060402).

The spelling of 203030100 in words is "two hundred three million, thirty thousand, one hundred".