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203130032 = 24715112011
BaseRepresentation
bin11000001101110…
…00010010110000
3112011020002000112
430012320102300
5404000130112
632053440452
75014401560
oct1406702260
9464202015
10203130032
11a4730666
1258040128
1333111bb1
141cd98da0
1512c76a22
hexc1b84b0

203130032 has 40 divisors (see below), whose sum is σ = 452804352. Its totient is φ = 86472000.

The previous prime is 203130029. The next prime is 203130047. The reversal of 203130032 is 230031302.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 203129989 and 203130016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10907 + ... + 22917.

Almost surely, 2203130032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226402176).

203130032 is an abundant number, since it is smaller than the sum of its proper divisors (249674320).

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

203130032 is a wasteful number, since it uses less digits than its factorization.

203130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12177 (or 12171 counting only the distinct ones).

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

The square root of 203130032 is about 14252.3693468840. The cubic root of 203130032 is about 587.8385260096.

Adding to 203130032 its reverse (230031302), we get a palindrome (433161334).

The spelling of 203130032 in words is "two hundred three million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 151 302 604 1057 1208 2114 2416 4228 8456 12011 16912 24022 48044 84077 96088 168154 192176 336308 672616 1345232 1813661 3627322 7254644 12695627 14509288 25391254 29018576 50782508 101565016 203130032