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312120222003 = 321716693122207
BaseRepresentation
bin1001000101010111101…
…00001010000100110011
31002211122012021002200100
410202223310022010303
520103210234101003
6355215215323443
731356426053502
oct4425364120463
91084565232610
10312120222003
111104078014a7
12505a8520583
1323581b673c5
141116cad6839
1581bb77aba3
hex48abd0a133

312120222003 has 24 divisors (see below), whose sum is σ = 477392842368. Its totient is φ = 195826804992.

The previous prime is 312120221999. The next prime is 312120222017. The reversal of 312120222003 is 300222021213.

It is not a de Polignac number, because 312120222003 - 22 = 312120221999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312120222023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2492926 + ... + 2615132.

It is an arithmetic number, because the mean of its divisors is an integer number (19891368432).

Almost surely, 2312120222003 is an apocalyptic number.

312120222003 is a deficient number, since it is larger than the sum of its proper divisors (165272620365).

312120222003 is a wasteful number, since it uses less digits than its factorization.

312120222003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138923 (or 138920 counting only the distinct ones).

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

Adding to 312120222003 its reverse (300222021213), we get a palindrome (612342243216).

The spelling of 312120222003 in words is "three hundred twelve billion, one hundred twenty million, two hundred twenty-two thousand, three".

Divisors: 1 3 9 17 51 153 16693 50079 122207 150237 283781 366621 851343 1099863 2077519 2554029 6232557 18697671 2040001451 6120004353 18360013059 34680024667 104040074001 312120222003