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212112003 = 32329711493
BaseRepresentation
bin11001010010010…
…01001010000011
3112210010101222010
430221021022003
5413300041003
633014144003
75153631225
oct1451111203
9483111863
10212112003
11a9805984
125b052003
1334c3827c
1420256415
151394d003
hexca49283

212112003 has 32 divisors (see below), whose sum is σ = 309795840. Its totient is φ = 128670080.

The previous prime is 212112001. The next prime is 212112023. The reversal of 212112003 is 300211212.

It is a cyclic number.

It is not a de Polignac number, because 212112003 - 21 = 212112001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212112003.

It is not an unprimeable number, because it can be changed into a prime (212112001) 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 31 ways as a sum of consecutive naturals, for example, 141325 + ... + 142817.

It is an arithmetic number, because the mean of its divisors is an integer number (9681120).

Almost surely, 2212112003 is an apocalyptic number.

212112003 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

212112003 is a deficient number, since it is larger than the sum of its proper divisors (97683837).

212112003 is a wasteful number, since it uses less digits than its factorization.

212112003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212112003 is about 14564.0654695040. The cubic root of 212112003 is about 596.3781841849.

Adding to 212112003 its reverse (300211212), we get a palindrome (512323215).

The spelling of 212112003 in words is "two hundred twelve million, one hundred twelve thousand, three".

Divisors: 1 3 23 29 69 71 87 213 667 1493 1633 2001 2059 4479 4899 6177 34339 43297 47357 103017 106003 129891 142071 318009 995831 2438069 2987493 3074087 7314207 9222261 70704001 212112003