diff --git a/tests/snippets/ints.py b/tests/snippets/ints.py
index fe3d046f9..49fc8c172 100644
--- a/tests/snippets/ints.py
+++ b/tests/snippets/ints.py
@@ -123,6 +123,11 @@ with assert_raises(ValueError):
 with assert_raises(ValueError):
     int(b"F\xc3\xb8\xc3\xb6\xbbB\xc3\xa5r")
 
+# string looks like radix
+assert int('0b1', base=12) == 133
+assert int('0o1', base=25) == 601
+assert int('0x1', base=34) == 1123
+
 # underscore
 assert int('0xFF_FF_FF', base=16) == 16_777_215
 with assert_raises(ValueError):
diff --git a/vm/src/obj/objint.rs b/vm/src/obj/objint.rs
index b9ea0872c..285986e0e 100644
--- a/vm/src/obj/objint.rs
+++ b/vm/src/obj/objint.rs
@@ -792,13 +792,16 @@ fn str_to_int(vm: &VirtualMachine, literal: &str, base: &BigInt) -> PyResult<Big
     // try to find base
     if let Some(radix_candidate) = radix_candidate {
         if let Some(matched_radix) = detect_base(&radix_candidate) {
-            if base_u32 != 0 && base_u32 != matched_radix {
-                return Err(invalid_literal(vm, literal, base));
-            } else {
+            if base_u32 == 0 || base_u32 == matched_radix {
                 base_u32 = matched_radix;
-            }
+                buf.drain(radix_range);
 
-            buf.drain(radix_range);
+            } else if (matched_radix == 2 && base_u32 < 12)
+                || (matched_radix == 8 && base_u32 < 25)
+                || (matched_radix == 16 && base_u32 < 34)
+            {
+                return Err(invalid_literal(vm, literal, base));
+            }
         }
     }