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203112032 = 25411491039
BaseRepresentation
bin11000001101100…
…11111001100000
3112011012011022212
430012303321200
5403444041112
632053221252
75014265234
oct1406637140
9464164285
10203112032
11a4719092
1258031828
1333106946
141cd925c4
1512c71522
hexc1b3e60

203112032 has 48 divisors (see below), whose sum is σ = 412776000. Its totient is φ = 98319360.

The previous prime is 203112029. The next prime is 203112037. The reversal of 203112032 is 230211302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 203111998 and 203112016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203112037) 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 7 ways as a sum of consecutive naturals, for example, 194969 + ... + 196007.

It is an arithmetic number, because the mean of its divisors is an integer number (8599500).

Almost surely, 2203112032 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 203112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388000).

203112032 is an abundant number, since it is smaller than the sum of its proper divisors (209663968).

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

203112032 is a wasteful number, since it uses less digits than its factorization.

203112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 203112032 is about 14251.7378589420. The cubic root of 203112032 is about 587.8211620811.

Adding to 203112032 its reverse (230211302), we get a palindrome (433323334).

The spelling of 203112032 in words is "two hundred three million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 82 149 164 298 328 596 656 1039 1192 1312 2078 2384 4156 4768 6109 8312 12218 16624 24436 33248 42599 48872 85198 97744 154811 170396 195488 309622 340792 619244 681584 1238488 1363168 2476976 4953952 6347251 12694502 25389004 50778008 101556016 203112032