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203130000 = 2432543761
BaseRepresentation
bin11000001101110…
…00010010010000
3112011020001222100
430012320102100
5404000130000
632053440400
75014401513
oct1406702220
9464201870
10203130000
11a4730637
1258040100
1333111b88
141cd98d7a
1512c76a00
hexc1b8490

203130000 has 300 divisors, whose sum is σ = 741534508. Its totient is φ = 51840000.

The previous prime is 203129999. The next prime is 203130029. The reversal of 203130000 is 31302.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 168272784 + 34857216 = 12972^2 + 5904^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3329970 + ... + 3330030.

Almost surely, 2203130000 is an apocalyptic number.

203130000 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 203130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370767254).

203130000 is an abundant number, since it is smaller than the sum of its proper divisors (538404508).

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

203130000 is a wasteful number, since it uses less digits than its factorization.

203130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

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

The square root of 203130000 is about 14252.3682242636. The cubic root of 203130000 is about 587.8384951413.

Adding to 203130000 its reverse (31302), we get a palindrome (203161302).

The spelling of 203130000 in words is "two hundred three million, one hundred thirty thousand".