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2003213142 = 232715898517
BaseRepresentation
bin111011101100110…
…1001101101010110
312011121101202211100
41313121221231112
513100310310032
6530435450530
7100433013360
oct16731515526
95147352740
102003213142
11938841757
1247aa56a46
1325c030a28
14150093d30
15bace997c
hex77669b56

2003213142 has 24 divisors (see below), whose sum is σ = 4960337616. Its totient is φ = 572346576.

The previous prime is 2003213123. The next prime is 2003213143. The reversal of 2003213142 is 2413123002.

2003213142 is a `hidden beast` number, since 200 + 321 + 3 + 142 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003213143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7949133 + ... + 7949384.

It is an arithmetic number, because the mean of its divisors is an integer number (206680734).

Almost surely, 22003213142 is an apocalyptic number.

2003213142 is an abundant number, since it is smaller than the sum of its proper divisors (2957124474).

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

2003213142 is a wasteful number, since it uses less digits than its factorization.

2003213142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15898532 (or 15898529 counting only the distinct ones).

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

The square root of 2003213142 is about 44757.2691526192. The cubic root of 2003213142 is about 1260.5954064302.

Adding to 2003213142 its reverse (2413123002), we get a palindrome (4416336144).

The spelling of 2003213142 in words is "two billion, three million, two hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 15898517 31797034 47695551 95391102 111289619 143086653 222579238 286173306 333868857 667737714 1001606571 2003213142