After trying conventional means (such as 1+ number), I contacted the telecom service. They alerted me that I'd need to dial 011 + the number.
Still no go.
The problem was fixed when I randomly took some of the numbers out of the fax number provided.
If someone asks you for your fax number, and you say XX-0-XX-XXXX-XXXX, why would you add the zero if you know it would make the fax not go through?
Would you do that out of stupidity, or just to be mean?
What's more, this number was ON THEIR COMPANY LETTERHEAD. With an extra number, just sitting there. Obscene.