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203143320 = 2332537101151
BaseRepresentation
bin11000001101110…
…11100010011000
3112011020202020200
430012323202120
5404001041240
632054022200
75014455402
oct1406734230
9464222220
10203143320
11a473a646
1258047960
1333117c63
141cd9db72
1512c7a930
hexc1bb898

203143320 has 192 divisors, whose sum is σ = 689307840. Its totient is φ = 51840000.

The previous prime is 203143277. The next prime is 203143327. The reversal of 203143320 is 23341302.

203143320 is a `hidden beast` number, since 20 + 314 + 332 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 203143293 and 203143302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203143327) 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 47 ways as a sum of consecutive naturals, for example, 1345245 + ... + 1345395.

It is an arithmetic number, because the mean of its divisors is an integer number (3590145).

Almost surely, 2203143320 is an apocalyptic number.

203143320 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 203143320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344653920).

203143320 is an abundant number, since it is smaller than the sum of its proper divisors (486164520).

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

203143320 is a wasteful number, since it uses less digits than its factorization.

203143320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 203143320 is about 14252.8355073648. The cubic root of 203143320 is about 587.8513437893.

Adding to 203143320 its reverse (23341302), we get a palindrome (226484622).

The spelling of 203143320 in words is "two hundred three million, one hundred forty-three thousand, three hundred twenty".