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203142321 = 32373131949
BaseRepresentation
bin11000001101110…
…11010010110001
3112011020200212200
430012323102301
5404001023241
632054013413
75014452444
oct1406732261
9464220780
10203142321
11a4739918
1258047269
1333117675
141cd9d65b
1512c7a4b6
hexc1bb4b1

203142321 has 24 divisors (see below), whose sum is σ = 302476200. Its totient is φ = 131279616.

The previous prime is 203142311. The next prime is 203142337. The reversal of 203142321 is 123241302.

203142321 is a `hidden beast` number, since 203 + 142 + 321 = 666.

203142321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35569296 + 167573025 = 5964^2 + 12945^2 .

It is not a de Polignac number, because 203142321 - 222 = 198948017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 203142294 and 203142303.

It is not an unprimeable number, because it can be changed into a prime (203142301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103255 + ... + 105203.

It is an arithmetic number, because the mean of its divisors is an integer number (12603175).

Almost surely, 2203142321 is an apocalyptic number.

It is an amenable number.

203142321 is a deficient number, since it is larger than the sum of its proper divisors (99333879).

203142321 is a wasteful number, since it uses less digits than its factorization.

203142321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 203142321 is about 14252.8004616637. The cubic root of 203142321 is about 587.8503801602.

Adding to 203142321 its reverse (123241302), we get a palindrome (326383623).

The spelling of 203142321 in words is "two hundred three million, one hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 37 111 313 333 939 1949 2817 5847 11581 17541 34743 72113 104229 216339 610037 649017 1830111 5490333 22571369 67714107 203142321