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2142003 = 31937579
BaseRepresentation
bin1000001010111100110011
311000211021110
420022330303
51022021003
6113524403
724130623
oct10127463
94024243
102142003
111233356
12873703
1359cc76
143da883
152c4a03
hex20af33

2142003 has 8 divisors (see below), whose sum is σ = 3006400. Its totient is φ = 1352808.

The previous prime is 2142001. The next prime is 2142029. The reversal of 2142003 is 3002412.

2142003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2142003 - 21 = 2142001 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 2142003.

It is not an unprimeable number, because it can be changed into a prime (2142001) by changing a digit.

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, 18733 + ... + 18846.

It is an arithmetic number, because the mean of its divisors is an integer number (375800).

22142003 is an apocalyptic number.

2142003 is a deficient number, since it is larger than the sum of its proper divisors (864397).

2142003 is a wasteful number, since it uses less digits than its factorization.

2142003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37601.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2142003 is about 1463.5583350178. The cubic root of 2142003 is about 128.9060670668.

Adding to 2142003 its reverse (3002412), we get a palindrome (5144415).

It can be divided in two parts, 21 and 42003, that added together give a palindrome (42024).

The spelling of 2142003 in words is "two million, one hundred forty-two thousand, three".

Divisors: 1 3 19 57 37579 112737 714001 2142003