#include <bits/stdc++.h>
#define syosu(x) fixed<<setprecision(x)
using namespace std;
typedef long long ll;
typedef unsigned int uint;
typedef unsigned long long ull;
typedef pair<int,int> P;
typedef pair<double,double> pdd;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<double> vd;
typedef vector<vd> vvd;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<string> vs;
typedef vector<P> vp;
typedef vector<vp> vvp;
typedef vector<pll> vpll;
typedef pair<int,P> pip;
typedef vector<pip> vip;
const int inf=1<<30;
const ll INF=1ll<<60;
const double pi=acos(-1);
const double eps=1e-8;
const ll mod=1e9+7;
const int dx[4]={-1,0,1,0},dy[4]={0,-1,0,1};

ll Pow(ll n,ll p){
	ll r=1;
	for(;p>0;p>>=1){
		if(p&1) r=(r*n)%mod;
		n=(n*n)%mod;
	}
	return r;
}

ll n;

int f(int x){
	int t=0;
	while(x){
		x/=10;
		t++;
	}
	return t;
}

int main(){
	cin>>n;
	ll res=0;
	for(int i=1;i<=n;i++) if(n/i>=8){
		if(n%i==0) (res+=Pow(10,n/i-1)*9-i+1+mod)%=mod;
		else res++;
	}
	res%=mod;
	ll I=1,t=0;
	for(int i=1;i<10000000;i++){
		t-=f(i-1);
		while(t<n) t+=f(I++);
		if(t==n) res++;
	}
	res%=mod;
	cout<<res<<endl;
}